Ohio Rev. Code Ann. § 2335.12

In all states cases, any wholly salaried minor court officer, charged with the execution of a warrant to arrest or order of commitment, shall receive from the county treasury the actual necessary expense of executing such writs upon specifically itemized bills, verified by the oath of such officer, and certified to by the proper magistrate, court, or clerk thereof. Such expense shall, in a like manner, be paid from the municipal treasury when incurred in ordinance cases.