Ohio Rev. Code § 749.22
The board of hospital trustees provided by section 749.21 of the Revised Code shall consist of eight resident electors of the municipal corporation, who shall be appointed by the board of trustees of the sinking fund, or, in the event that the board of trustees of a sinking fund ceases to function within such municipal corporation by operation of law, they shall be appointed by the legislative authority of the municipal corporation. Each member of such board shall serve without compensation for the term of four years. When the terms of members presently holding office expire, of those first appointed thereafter, one shall be appointed for a term of one year, one for a term of two years, one for a term of three years, and one for a term of four years. The remaining appointments shall be one for one year, one for two years, one for three years, and one for four years, and thereafter their successors shall be appointed two each year to serve for the term of four years, but not more than four shall be of the same political party. Vacancy in the board by death, resignation, or otherwise shall be filled in like manner for the remainder of the term.
The members of the board of hospital trustees, before entering upon the discharge of their duties, shall take the oath of office prescribed by section 733.68 of the Revised Code, and, except as otherwise provided in the municipal charter or in section 3.061 of the Revised Code, shall give bond in the sum of twenty-five hundred dollars, conditioned according to section 733.71 of the Revised Code and to the approval of the mayor and the legislative authority of the municipal corporation.
R.C. § 749.22