Ohio Rev. Code Ann. § 161.10

Any dispute concerning a question of fact arising under sections 161.01 to 161.29, inclusive, of the Revised Code, with respect to an office in the executive branch of the state government, except a dispute of fact relative to the office of governor, shall be adjudicated by the governor, or other official authorized under the constitution, or otherwise by law, to exercise the powers and discharge the duties of the office of governor, and his decision shall be final.