Ohio Revised Code Title III. Counties § 307.60

(A) The board of county commissioners may allow a physician or surgeon making a post mortem examination at the instance of the coroner or other officer such compensation as it deems proper.

(B) A board of county commissioners may appropriate annually an amount to any municipal corporation within the county to be used to compensate or recruit physicians or other medical personnel who provide medical services for residents of the municipal corporation.  Before making such an appropriation, the board shall obtain a resolution from the legislative authority of the municipal corporation certifying that the appropriation is necessary to attract physicians and other medical personnel to provide services within the municipal corporation.