<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a0fda4-967c-73e9-afed-039d116d17f6,g:6fd9b688-36f6-41b6-943a-6384cd776de1-->
<xs:schema xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:oig="http://www.orion180.com/20260930" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" attributeFormDefault="unqualified" elementFormDefault="qualified" targetNamespace="http://www.orion180.com/20260930">
  <xs:import namespace="http://fasb.org/srt/2026" schemaLocation="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd"/>
  <xs:import namespace="http://fasb.org/us-gaap/2026" schemaLocation="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei/2026" schemaLocation="https://xbrl.sec.gov/dei/2026/dei-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/ecd/2026" schemaLocation="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd"/>
  <xs:annotation>
    <xs:appinfo>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="oig-20260930_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:type="simple"/>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="oig-20260930_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:type="simple"/>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="oig-20260930_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:type="simple"/>
      <link:linkbaseRef xmlns:xlink="http://www.w3.org/1999/xlink" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:href="oig-20260930_cal.xml" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:type="simple"/>
      <link:roleType id="Cover" roleURI="http://www.orion180.com/role/Cover">
        <link:definition>0000001 - Document - Cover</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CondensedConsolidatedBalanceSheets" roleURI="http://www.orion180.com/role/CondensedConsolidatedBalanceSheets">
        <link:definition>9952151 - Statement - Condensed Consolidated Balance Sheets</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CondensedConsolidatedBalanceSheetsParenthetical" roleURI="http://www.orion180.com/role/CondensedConsolidatedBalanceSheetsParenthetical">
        <link:definition>9952152 - Statement - Condensed Consolidated Balance Sheets (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CondensedConsolidatedStatementsofOperationsandComprehensiveIncomeUnaudited" roleURI="http://www.orion180.com/role/CondensedConsolidatedStatementsofOperationsandComprehensiveIncomeUnaudited">
        <link:definition>9952153 - Statement - Condensed Consolidated Statements of Operations and Comprehensive Income (Unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CondensedConsolidatedStatementsofChangesinShareholdersEquityDeficitUnaudited" roleURI="http://www.orion180.com/role/CondensedConsolidatedStatementsofChangesinShareholdersEquityDeficitUnaudited">
        <link:definition>9952154 - Statement - Condensed Consolidated Statements of Changes in Shareholders&#8217; Equity (Deficit) (Unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CondensedConsolidatedStatementsofChangesinShareholdersEquityDeficitUnauditedParenthetical" roleURI="http://www.orion180.com/role/CondensedConsolidatedStatementsofChangesinShareholdersEquityDeficitUnauditedParenthetical">
        <link:definition>9952155 - Statement - Condensed Consolidated Statements of Changes in Shareholders&#8217; Equity (Deficit) (Unaudited) (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CondensedConsolidatedStatementsofCashFlowsUnaudited" roleURI="http://www.orion180.com/role/CondensedConsolidatedStatementsofCashFlowsUnaudited">
        <link:definition>9952156 - Statement - Condensed Consolidated Statements of Cash Flows (Unaudited)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="NatureofOperationsandBasisofPresentation" roleURI="http://www.orion180.com/role/NatureofOperationsandBasisofPresentation">
        <link:definition>9952157 - Disclosure - Nature of Operations and Basis of Presentation</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SummaryofSignificantAccountingPolicies" roleURI="http://www.orion180.com/role/SummaryofSignificantAccountingPolicies">
        <link:definition>9952158 - Disclosure - Summary of Significant Accounting Policies</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentReporting" roleURI="http://www.orion180.com/role/SegmentReporting">
        <link:definition>9952159 - Disclosure - Segment Reporting</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="VariableInterestEntity" roleURI="http://www.orion180.com/role/VariableInterestEntity">
        <link:definition>9952160 - Disclosure - Variable Interest Entity</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="Investments" roleURI="http://www.orion180.com/role/Investments">
        <link:definition>9952161 - Disclosure - Investments</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FairValueMeasurements" roleURI="http://www.orion180.com/role/FairValueMeasurements">
        <link:definition>9952162 - Disclosure - Fair Value Measurements</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensation" roleURI="http://www.orion180.com/role/ShareBasedCompensation">
        <link:definition>9952163 - Disclosure - Share Based Compensation</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="EarningsPerShare" roleURI="http://www.orion180.com/role/EarningsPerShare">
        <link:definition>9952164 - Disclosure - Earnings Per Share</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="IncomeTaxes" roleURI="http://www.orion180.com/role/IncomeTaxes">
        <link:definition>9952165 - Disclosure - Income Taxes</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CommitmentandContingencies" roleURI="http://www.orion180.com/role/CommitmentandContingencies">
        <link:definition>9952166 - Disclosure - Commitment and Contingencies</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="Leases" roleURI="http://www.orion180.com/role/Leases">
        <link:definition>9952167 - Disclosure - Leases</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="Debt" roleURI="http://www.orion180.com/role/Debt">
        <link:definition>9952168 - Disclosure - Debt</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="Reinsurance" roleURI="http://www.orion180.com/role/Reinsurance">
        <link:definition>9952169 - Disclosure - Reinsurance</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DeferredPolicyAcquisitionCostsNetofCedingCommissions" roleURI="http://www.orion180.com/role/DeferredPolicyAcquisitionCostsNetofCedingCommissions">
        <link:definition>9952170 - Disclosure - Deferred Policy Acquisition Costs, Net of Ceding Commissions</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LiabilityForUnpaidLossesandLossAdjustmentExpenses" roleURI="http://www.orion180.com/role/LiabilityForUnpaidLossesandLossAdjustmentExpenses">
        <link:definition>9952171 - Disclosure - Liability For Unpaid Losses and Loss Adjustment Expenses</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareholdersEquity" roleURI="http://www.orion180.com/role/ShareholdersEquity">
        <link:definition>9952172 - Disclosure - Shareholders&#8217; Equity</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SummaryofSignificantAccountingPoliciesPolicies" roleURI="http://www.orion180.com/role/SummaryofSignificantAccountingPoliciesPolicies">
        <link:definition>9955511 - Disclosure - Summary of Significant Accounting Policies (Policies)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentReportingTables" roleURI="http://www.orion180.com/role/SegmentReportingTables">
        <link:definition>9955512 - Disclosure - Segment Reporting (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="VariableInterestEntityTables" roleURI="http://www.orion180.com/role/VariableInterestEntityTables">
        <link:definition>9955513 - Disclosure - Variable Interest Entity (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsTables" roleURI="http://www.orion180.com/role/InvestmentsTables">
        <link:definition>9955514 - Disclosure - Investments (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FairValueMeasurementsTables" roleURI="http://www.orion180.com/role/FairValueMeasurementsTables">
        <link:definition>9955515 - Disclosure - Fair Value Measurements (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensationTables" roleURI="http://www.orion180.com/role/ShareBasedCompensationTables">
        <link:definition>9955516 - Disclosure - Share-Based Compensation (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="EarningsPerShareTables" roleURI="http://www.orion180.com/role/EarningsPerShareTables">
        <link:definition>9955517 - Disclosure - Earnings Per Share (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LeasesTables" roleURI="http://www.orion180.com/role/LeasesTables">
        <link:definition>9955518 - Disclosure - Leases (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DebtTables" roleURI="http://www.orion180.com/role/DebtTables">
        <link:definition>9955519 - Disclosure - Debt (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ReinsuranceTables" roleURI="http://www.orion180.com/role/ReinsuranceTables">
        <link:definition>9955520 - Disclosure - Reinsurance (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DeferredPolicyAcquisitionCostsNetofCedingCommissionsTables" roleURI="http://www.orion180.com/role/DeferredPolicyAcquisitionCostsNetofCedingCommissionsTables">
        <link:definition>9955521 - Disclosure - Deferred Policy Acquisition Costs, Net of Ceding Commissions (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LiabilityForUnpaidLossesandLossAdjustmentExpensesTables" roleURI="http://www.orion180.com/role/LiabilityForUnpaidLossesandLossAdjustmentExpensesTables">
        <link:definition>9955522 - Disclosure - Liability For Unpaid Losses and Loss Adjustment Expenses (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="NatureofOperationsandBasisofPresentationDetails" roleURI="http://www.orion180.com/role/NatureofOperationsandBasisofPresentationDetails">
        <link:definition>9955523 - Disclosure - Nature of Operations and Basis of Presentation (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentReportingNarrativeDetails" roleURI="http://www.orion180.com/role/SegmentReportingNarrativeDetails">
        <link:definition>9955524 - Disclosure - Segment Reporting - Narrative (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="SegmentReportingScheduleofSegmentInformationDetails" roleURI="http://www.orion180.com/role/SegmentReportingScheduleofSegmentInformationDetails">
        <link:definition>9955525 - Disclosure - Segment Reporting - Schedule of Segment Information (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="VariableInterestEntityDetails" roleURI="http://www.orion180.com/role/VariableInterestEntityDetails">
        <link:definition>9955526 - Disclosure - Variable Interest Entity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsAmortizedCostandEstimatedFairValueofHeldtoMaturitySecuritiesDetails" roleURI="http://www.orion180.com/role/InvestmentsAmortizedCostandEstimatedFairValueofHeldtoMaturitySecuritiesDetails">
        <link:definition>9955527 - Disclosure - Investments -Amortized Cost and Estimated Fair Value of Held- to-Maturity Securities (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsHeldToMaturityContinuousLossDetails" roleURI="http://www.orion180.com/role/InvestmentsHeldToMaturityContinuousLossDetails">
        <link:definition>9955528 - Disclosure - Investments - Held To Maturity Continuous Loss (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsHeldToMaturityRollingMaturityDetails" roleURI="http://www.orion180.com/role/InvestmentsHeldToMaturityRollingMaturityDetails">
        <link:definition>9955529 - Disclosure - Investments - Held To Maturity Rolling Maturity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsAmortizedCostandEstimatedFairValueofAvailableforSaleSecuritiesDetails" roleURI="http://www.orion180.com/role/InvestmentsAmortizedCostandEstimatedFairValueofAvailableforSaleSecuritiesDetails">
        <link:definition>9955530 - Disclosure - Investments - Amortized Cost and Estimated Fair Value of Available-for-Sale Securities (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsNarrativeDetails" roleURI="http://www.orion180.com/role/InvestmentsNarrativeDetails">
        <link:definition>9955531 - Disclosure - Investments - Narrative (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsAvailableforSaleSecuritiesContinuousLossPositionDetails" roleURI="http://www.orion180.com/role/InvestmentsAvailableforSaleSecuritiesContinuousLossPositionDetails">
        <link:definition>9955532 - Disclosure - Investments -Available-for-Sale Securities Continuous Loss Position (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsAmortizedCostandEstimatedFairValueAvailableforSaleSecuritiesContractualMaturityDetails" roleURI="http://www.orion180.com/role/InvestmentsAmortizedCostandEstimatedFairValueAvailableforSaleSecuritiesContractualMaturityDetails">
        <link:definition>9955533 - Disclosure - Investments -Amortized Cost and Estimated Fair Value, Available for Sale Securities Contractual Maturity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="InvestmentsInvestmentIncomeDetails" roleURI="http://www.orion180.com/role/InvestmentsInvestmentIncomeDetails">
        <link:definition>9955534 - Disclosure - Investments - Investment Income (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FairValueMeasurementsFairValueAssetsMeasuredonRecurringBasisDetails" roleURI="http://www.orion180.com/role/FairValueMeasurementsFairValueAssetsMeasuredonRecurringBasisDetails">
        <link:definition>9955535 - Disclosure - Fair Value Measurements - Fair Value, Assets Measured on Recurring Basis (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FairValueMeasurementsScheduleofFinancialInstrumentsNotCarriedAtFairValueDetails" roleURI="http://www.orion180.com/role/FairValueMeasurementsScheduleofFinancialInstrumentsNotCarriedAtFairValueDetails">
        <link:definition>9955536 - Disclosure - Fair Value Measurements -Schedule of Financial Instruments Not Carried At Fair Value (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="FairValueMeasurementsFairValuebyBalanceSheetGroupingDetails" roleURI="http://www.orion180.com/role/FairValueMeasurementsFairValuebyBalanceSheetGroupingDetails">
        <link:definition>9955537 - Disclosure - Fair Value Measurements - Fair Value, by Balance Sheet Grouping (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensationNarrativeDetails" roleURI="http://www.orion180.com/role/ShareBasedCompensationNarrativeDetails">
        <link:definition>9955538 - Disclosure - Share-Based Compensation - Narrative (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensationStockOptionActivityDetails" roleURI="http://www.orion180.com/role/ShareBasedCompensationStockOptionActivityDetails">
        <link:definition>9955539 - Disclosure - Share-Based Compensation - Stock Option Activity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareBasedCompensationSummaryofChangesinRSUsDetails" roleURI="http://www.orion180.com/role/ShareBasedCompensationSummaryofChangesinRSUsDetails">
        <link:definition>9955540 - Disclosure - Share-Based Compensation - Summary of Changes in RSUs (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="EarningsPerShareDetails" roleURI="http://www.orion180.com/role/EarningsPerShareDetails">
        <link:definition>9955541 - Disclosure - Earnings Per Share (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="CommitmentandContingenciesDetails" roleURI="http://www.orion180.com/role/CommitmentandContingenciesDetails">
        <link:definition>9955542 - Disclosure - Commitment and Contingencies (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LeasesLeaseCostDetails" roleURI="http://www.orion180.com/role/LeasesLeaseCostDetails">
        <link:definition>9955543 - Disclosure - Leases -Lease Cost (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LeasesSupplementalBalanceSheetInformationDetails" roleURI="http://www.orion180.com/role/LeasesSupplementalBalanceSheetInformationDetails">
        <link:definition>9955544 - Disclosure - Leases -Supplemental Balance Sheet Information (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LeasesSupplementalBalanceSheetDetails" roleURI="http://www.orion180.com/role/LeasesSupplementalBalanceSheetDetails">
        <link:definition>9955545 - Disclosure - Leases - Supplemental Balance Sheet (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DebtDetails" roleURI="http://www.orion180.com/role/DebtDetails">
        <link:definition>9955546 - Disclosure - Debt (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DebtNarrativeDetails" roleURI="http://www.orion180.com/role/DebtNarrativeDetails">
        <link:definition>9955547 - Disclosure - Debt - Narrative (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DebtFutureMaturitiesOfLongtermDebtDetails" roleURI="http://www.orion180.com/role/DebtFutureMaturitiesOfLongtermDebtDetails">
        <link:definition>9955548 - Disclosure - Debt - Future Maturities Of Long-term Debt (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ReinsuranceNarrativeDetails" roleURI="http://www.orion180.com/role/ReinsuranceNarrativeDetails">
        <link:definition>9955549 - Disclosure - Reinsurance - Narrative (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ReinsuranceEffectsDetails" roleURI="http://www.orion180.com/role/ReinsuranceEffectsDetails">
        <link:definition>9955550 - Disclosure - Reinsurance - Effects (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ReinsuranceImpactofReinsuranceArrangementDetails" roleURI="http://www.orion180.com/role/ReinsuranceImpactofReinsuranceArrangementDetails">
        <link:definition>9955551 - Disclosure - Reinsurance - Impact of Reinsurance Arrangement (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DeferredPolicyAcquisitionCostsNetofCedingCommissionsActivityDetails" roleURI="http://www.orion180.com/role/DeferredPolicyAcquisitionCostsNetofCedingCommissionsActivityDetails">
        <link:definition>9955552 - Disclosure - Deferred Policy Acquisition Costs, Net of Ceding Commissions - Activity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="DeferredPolicyAcquisitionCostsNetofCedingCommissionsComponentsDetails" roleURI="http://www.orion180.com/role/DeferredPolicyAcquisitionCostsNetofCedingCommissionsComponentsDetails">
        <link:definition>9955553 - Disclosure - Deferred Policy Acquisition Costs, Net of Ceding Commissions - Components (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LiabilityForUnpaidLossesandLossAdjustmentExpensesReconciliationofLiabilityDetails" roleURI="http://www.orion180.com/role/LiabilityForUnpaidLossesandLossAdjustmentExpensesReconciliationofLiabilityDetails">
        <link:definition>9955554 - Disclosure - Liability For Unpaid Losses and Loss Adjustment Expenses - Reconciliation of Liability (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="LiabilityForUnpaidLossesandLossAdjustmentExpensesNarrativeDetails" roleURI="http://www.orion180.com/role/LiabilityForUnpaidLossesandLossAdjustmentExpensesNarrativeDetails">
        <link:definition>9955555 - Disclosure - Liability For Unpaid Losses and Loss Adjustment Expenses - Narrative (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType id="ShareholdersEquityDetails" roleURI="http://www.orion180.com/role/ShareholdersEquityDetails">
        <link:definition>9955556 - Disclosure - Shareholders&#8217; Equity (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
    </xs:appinfo>
  </xs:annotation>
  <xs:element id="oig_CommissionAndServiceFeeIncomeReceivable" abstract="false" name="CommissionAndServiceFeeIncomeReceivable" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DeferredPolicyAcquisitionCostsNetOfCedingCommissions" abstract="false" name="DeferredPolicyAcquisitionCostsNetOfCedingCommissions" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_PolicyAcquisitionExpensesNet" abstract="false" name="PolicyAcquisitionExpensesNet" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_TemporaryEquityStockIssuedDuringPeriodSharesNewIssues" abstract="false" name="TemporaryEquityStockIssuedDuringPeriodSharesNewIssues" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="oig_TemporaryEquityDividends" abstract="false" name="TemporaryEquityDividends" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_TemporaryEquityStockRepurchasedDuringPeriodShares" abstract="false" name="TemporaryEquityStockRepurchasedDuringPeriodShares" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="oig_TemporaryEquityStockRepurchasedDuringPeriodValue" abstract="false" name="TemporaryEquityStockRepurchasedDuringPeriodValue" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_AdjustmentToAdditionalPaidInCapitalCommonStockExchangeOfSharesBetweenClass" abstract="false" name="AdjustmentToAdditionalPaidInCapitalCommonStockExchangeOfSharesBetweenClass" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_TemporaryEquityDividendsPaid" abstract="false" name="TemporaryEquityDividendsPaid" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:perShareItemType"/>
  <xs:element id="oig_DebtSecuritiesInvestmentsOtherReceivablesAndReinsuranceRecoverableCreditLossExpenseReversal" abstract="false" name="DebtSecuritiesInvestmentsOtherReceivablesAndReinsuranceRecoverableCreditLossExpenseReversal" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_IncreaseDecreaseInCommissionAndServiceFeeIncomeReceivable" abstract="false" name="IncreaseDecreaseInCommissionAndServiceFeeIncomeReceivable" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_IncreaseDecreaseDeferredPolicyAcquisitionCostsNetOfCedingCommissions" abstract="false" name="IncreaseDecreaseDeferredPolicyAcquisitionCostsNetOfCedingCommissions" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DeferredStockIssuanceCostIncludedInAccountsPayableAndOtherLiabilities" abstract="false" name="DeferredStockIssuanceCostIncludedInAccountsPayableAndOtherLiabilities" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_EmergingGrowthCompanyPolicyTextBlock" abstract="false" name="EmergingGrowthCompanyPolicyTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:textBlockItemType"/>
  <xs:element id="oig_ScheduleOfFinancialInstrumentsNotCarriedAtFairValueTableTextBlock" abstract="false" name="ScheduleOfFinancialInstrumentsNotCarriedAtFairValueTableTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:textBlockItemType"/>
  <xs:element id="oig_LesseeSupplementalBalanceSheetInfomationTableTextBlock" abstract="false" name="LesseeSupplementalBalanceSheetInfomationTableTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:textBlockItemType"/>
  <xs:element id="oig_LesseeSupplementalCashFlowInfomationTableTextBlock" abstract="false" name="LesseeSupplementalCashFlowInfomationTableTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:textBlockItemType"/>
  <xs:element id="oig_UnderwritingSegmentMember" abstract="true" name="UnderwritingSegmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_ServicesSegmentMember" abstract="true" name="ServicesSegmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_IncreaseDecreaseInUnearnedPremiumsGross" abstract="false" name="IncreaseDecreaseInUnearnedPremiumsGross" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_GrossPremiumsEarned" abstract="false" name="GrossPremiumsEarned" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_InsuranceCommissionsIncome" abstract="false" name="InsuranceCommissionsIncome" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_SalariesAndSoftwareDevelopmentCosts" abstract="false" name="SalariesAndSoftwareDevelopmentCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_CapitalizationOfSalariesAndSoftwareDevelopmentCosts" abstract="false" name="CapitalizationOfSalariesAndSoftwareDevelopmentCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_EarningsBeforeInterestTaxDepreciationAndAmortizationAdjusted" abstract="false" name="EarningsBeforeInterestTaxDepreciationAndAmortizationAdjusted" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_SponsorshipFees" abstract="false" name="SponsorshipFees" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_VariableInterestEntityPrimaryBeneficiarySAAMember" abstract="true" name="VariableInterestEntityPrimaryBeneficiarySAAMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_VariableInterestEntityPrimaryBeneficiaryOtherEntitiesMember" abstract="true" name="VariableInterestEntityPrimaryBeneficiaryOtherEntitiesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_IndustrialAndMiscellaneousMember" abstract="true" name="IndustrialAndMiscellaneousMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_GovernmentAndCorporateSecuritiesMember" abstract="true" name="GovernmentAndCorporateSecuritiesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_DebtSecuritiesHeldToMaturityAmortizedCostMaturityAllocatedAndSingleMaturityDateAbstract" abstract="true" name="DebtSecuritiesHeldToMaturityAmortizedCostMaturityAllocatedAndSingleMaturityDateAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="oig_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateRollingWithinYearOne" abstract="false" name="DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateRollingWithinYearOne" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateRollingAfterYearOneThroughFive" abstract="false" name="DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLossMaturityAllocatedAndSingleMaturityDateRollingAfterYearOneThroughFive" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLossMaturityWithoutSingleMaturityDate" abstract="false" name="DebtSecuritiesHeldToMaturityAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLossMaturityWithoutSingleMaturityDate" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_CustodialJointAccountsHeldWithStates" abstract="false" name="CustodialJointAccountsHeldWithStates" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_USGovernmentAndCorporateSecuritiesMember" abstract="true" name="USGovernmentAndCorporateSecuritiesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_FixedMaturitiesAvailableForSaleMember" abstract="true" name="FixedMaturitiesAvailableForSaleMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_FixedMaturitiesHeldToMaturityMember" abstract="true" name="FixedMaturitiesHeldToMaturityMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_IndustrialAndMiscellaneousDebtSecuritiesMember" abstract="true" name="IndustrialAndMiscellaneousDebtSecuritiesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_ShortTermInvestmentsFairValueDisclosure" abstract="false" name="ShortTermInvestmentsFairValueDisclosure" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_TermLoanMember" abstract="true" name="TermLoanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_EquityIncentivePlanMember" abstract="true" name="EquityIncentivePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_LesseeWeightedAverageRemainingLeaseTermAbstract" abstract="true" name="LesseeWeightedAverageRemainingLeaseTermAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="oig_WeightedAverageDiscountRateAbstract" abstract="true" name="WeightedAverageDiscountRateAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="oig_December2024CreditAgreementMember" abstract="true" name="December2024CreditAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_May2026CreditAgreementMember" abstract="true" name="May2026CreditAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_CatastropheExcessOfLossReinsuranceMember" abstract="true" name="CatastropheExcessOfLossReinsuranceMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_ReinstatementPremiumProtectionMember" abstract="true" name="ReinstatementPremiumProtectionMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_NetQuotaShareReinsuranceMember" abstract="true" name="NetQuotaShareReinsuranceMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_ReinsuranceNetLossRetentionPerOccurrence" abstract="false" name="ReinsuranceNetLossRetentionPerOccurrence" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_CededPolicyAcquisitionExpenses" abstract="false" name="CededPolicyAcquisitionExpenses" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_ProducerCommissionsMember" abstract="true" name="ProducerCommissionsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_PremiumTaxesMember" abstract="true" name="PremiumTaxesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_BrokerageCommissionMember" abstract="true" name="BrokerageCommissionMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_DeferredPolicyAcquisitionCostsPeriodIncreaseDecreaseBeforeAmortization" abstract="false" name="DeferredPolicyAcquisitionCostsPeriodIncreaseDecreaseBeforeAmortization" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DeferredPolicyAcquisitionCostsNetOfCedingCommissionsDecreaseForCommissions" abstract="false" name="DeferredPolicyAcquisitionCostsNetOfCedingCommissionsDecreaseForCommissions" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DeferredPolicyAcquisitionCostsNetOfCedingCommissionsAddition" abstract="false" name="DeferredPolicyAcquisitionCostsNetOfCedingCommissionsAddition" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DeferredPolicyAcquisitionCostsNetOfCedingCommissionsPeriodIncreaseDecrease" abstract="false" name="DeferredPolicyAcquisitionCostsNetOfCedingCommissionsPeriodIncreaseDecrease" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_DeferredPolicyAcquisitionCostsNetOfCedingCommissionsAmortization" abstract="false" name="DeferredPolicyAcquisitionCostsNetOfCedingCommissionsAmortization" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="oig_ReinsuranceBrokerageMember" abstract="true" name="ReinsuranceBrokerageMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_ProfitCommissionsMember" abstract="true" name="ProfitCommissionsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="oig_StockExchangeAgreementVotingRightsNumberOfVotes" abstract="false" name="StockExchangeAgreementVotingRightsNumberOfVotes" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
</xs:schema>
