Ohio Rev. Code § 749.04: Board of hospital commissioners.

When the legislative authority of a municipal corporation enters upon and takes possession of grounds purchased, appropriated, or otherwise obtained for hospital purposes, and, by resolution or ordinance, determines to erect thereon or rebuild a hospital, the erection and repair thereof or any addition thereto shall be vested in the board of hospital commissioners, as established under this section.

Such board shall consist of the mayor and at least three trustees to be appointed by the mayor with the consent of the legislative authority. The members of such board shall be resident freehold electors of the municipal corporation, and they shall receive no compensation for their services.