Ohio Rev. Code § 513.07
The boards of township trustees of any two or more contiguous townships, whether or not within the same county, may, by a two-thirds favorable vote of each such board, form themselves into a joint township district hospital board for the purpose of establishing, constructing, and maintaining a joint township district general hospital or other hospital facilities as defined in section 140.01 of the Revised Code, and such townships shall be a part of a joint township hospital district.
Such joint township district hospital board shall organize within thirty days after the favorable vote by the last board of trustees joining itself into the joint township district hospital board. The chairperson of the board of township trustees of the most populous township participating shall give notice of the time and place of organization to each member of the board of township trustees of each township comprising the district. Such notice shall be signed by the chairperson of the board of township trustees of the most populous township comprising the district, and shall be sent by registered mail to each member of the board of township trustees of the townships affected, at least five days prior to such organization meeting, which meeting shall be held in one of the participating townships. All members of the board of township trustees of the townships so participating shall comprise the joint township district hospital board. Two-thirds of all the township trustees of the townships constituting such district constitutes a quorum. Such members of the boards of township trustees shall, at the organization meeting of such joint township district hospital board, proceed with the election of a president, a secretary, and a treasurer, and such other officers as they deem proper and necessary, and shall transact such other business as properly comes before such board.
In the formation of such a hospital district, such action may be taken by or on behalf of part of a township, by excluding that portion of the township lying within a municipal corporation.
R.C. § 513.07