Ohio Rev. Code § 513.09
Where an agreement under section 513.08 of the Revised Code provides for contributions to be made, from time to time, by a joint township hospital district, or by the county, for the maintenance and operating charges of a municipal hospital, the boards of township trustees of the townships comprising such district, or the board of county commissioners of such county, may appropriate unencumbered funds for such purpose as provided in section 513.12, or sections 5705.38 to 5705.47, inclusive, of the Revised Code. The joint township hospital board may, in the manner provided in sections 513.13 and 513.14 of the Revised Code, and the board of county commissioners may, in the manner provided in sections 5705.01 to 5705.26, inclusive, of the Revised Code, submit the question of levying a tax for such purpose.
R.C. § 513.09