Ohio Rev. Code § 339.76
The board of county commissioners of any county may establish and maintain one or more tuberculosis clinics in the county and may employ physicians, public health nurses, and other persons for the operation of such clinics or other means as are provided for the prevention, cure, and treatment of tuberculosis. The board may provide by tax levies, or otherwise, the necessary funds for such clinics to be established, maintained, and operated. Clinics so established shall be under the control of the board of county commissioners, and shall be supervised by a board of three trustees, similar in all respects to and with all the powers enjoyed by a board of trustees of a county hospital, or by a city or general district board of health within the county, as the board of county commissioners designates.
The boards of county commissioners of two or more counties may join together to establish a joint county tuberculosis clinic. Clinics so established shall be under the control of the joint boards of county commissioners of the member counties and shall be supervised by a board of trustees, such board to consist of an equal number of trustees from each of the member counties, with all of the powers enjoyed by a board of trustees of a county hospital, or by a city or general health district board of health within the county where the clinic is located, as the member boards of county commissioners shall designate. The cost of the establishment and the maintenance of such clinics shall be distributed among the member counties as agreed upon by such members, and such costs shall be paid from the respective county general funds, or from tax levies, or both.
R.C. §339.76