Ohio Rev. Code Ann. § 3705.18

When a death occurs outside the state and the body is transported into this state for burial or other disposition, the body must be accompanied by an authorization for final disposition issued in accordance with the laws and health regulations of the place where death occurred. The authorization that accompanied the body shall be accepted as authorization for burial, cremation, or other disposal in Ohio. The person in charge of place of burial shall endorse and forward the authorization for final disposition that accompanied the body to the local registrar of vital statistics of the registration district in which burial was made.