Ohio Revised Code Title V. Townships § 513.16

The joint township district hospital board, as soon as possible after its organization, shall appoint one elector from each township represented and three electors-at-large from the district, one of whom shall be a doctor of medicine, to constitute a board to be known as “the board of hospital governors” and control the operation of such hospital and perform such other duties as are provided by section 513.17 of the Revised Code, except that, if a lease of the hospital is made pursuant to section 513.171 of the Revised Code, control of the operation of the hospital shall be vested in the lessee thereunder.  Each of the governors shall be appointed for a term of three years, except that at the initial appointment of the board of hospital governors, one of the governors-at-large shall be appointed for a term of one year, and one of the governors-at-large shall be appointed for a term of two years.  Any vacancy shall be filled by an appointment, in like manner, for the unexpired term of the original appointment.

The joint township district hospital board may, by a majority vote of its members, remove any hospital governor for good and sufficient cause, after a hearing upon written charges.