Ohio Revised Code Title XXXIX. Insurance § 3929.03

An employee who recovers against his employer for injuries sustained while in the employ of his employer, and sustained because of the negligence of the employer or negligence for which said employer is liable, is subrogated to all the rights of the employer under any contract or policy of insurance against loss or damage resulting to said employer from the injury or death of an employee while in the service of such employer, whether the person, partnership, or corporation contracting with said employer or issuing such policy of insurance has been made a party to the action for damages sustained or not.