Ohio Rev. Code § 513.071
A municipal corporation which is not at the time part of a joint township hospital district may, by a two-thirds favorable vote of its legislative authority, participate in the formation of a joint township district hospital board pursuant to section 513.07 of the Revised Code if it is contiguous to another municipal corporation contemplated to be included in the district, or contiguous to, or partly but not wholly within, a township contemplated to be included in the district, or may become a part of an established joint township hospital district pursuant to sections 513.11 and 513.18 of the Revised Code if it is contiguous to the district, or to a township or municipal corporation contiguous to the district which will at the same time become part of such district. So long as such municipal corporation remains a part of such district, it may not be included, as part of a township, in another joint township hospital district, but the remainder of such township may become part of a joint township hospital district pursuant to section 513.07, 513.11, or 513.18 of the Revised Code. Each such municipal corporation shall be represented on the joint township district hospital board by the presiding officer of its legislative authority, who shall act as chairperson of a board of township trustees for the purposes of section 513.07 of the Revised Code, and by two members of such legislative authority to be appointed from time to time by the legislative authority and to serve for such term or terms as it prescribes. For the purpose of such representation such presiding officer and members shall be considered as a board of township trustees; but for all other purposes of sections 513.07 to 513.18, inclusive, of the Revised Code, the legislative authority shall be considered as the board of township trustees and shall perform the duties imposed on that board by such sections.
Any indebtedness incurred by a joint township hospital district shall not constitute an indebtedness of any municipal corporation or any township.
Where a municipal corporation as a part of a township is territorially a part of a joint township hospital district and thereafter its corporate limits are made identical with those of a township, such municipal corporation shall as a township remain a part of such joint township hospital district and shall be bound by all agreements or obligations theretofore or thereafter entered into or assumed, and the taxable property therein shall be subject to all tax levies, including tax levies for bonds of the joint township hospital district, theretofore or thereafter imposed by the district pursuant to sections 513.07 to 513.18, inclusive, of the Revised Code. Such municipal corporation shall be entitled, as a new and separate township, to representation on the joint township district hospital board in the same manner as is provided in this section when a joint township district hospital board in the same manner as is provided in this section when a joint township hospital district is formed.
R.C. § 513.071