Ohio Rev. Code Ann. § 339.12

The board of county commissioners may, upon such terms as are agreed upon between such board and the legislative authority of the municipal corporation, lease, acquire, operate, and maintain, as and for a county hospital, the lands, buildings, and equipment of a general hospital owned by any such municipal corporation in the county. The terms of such agreement may provide that operation and maintenance of said hospital shall be under the direction and control of a public university having a college of medicine and located within the county. For such purposes the board may expend any available funds belonging to the county, except the proceeds of a special tax, loan, or bond issue.