Ohio Rev. Code § 735.28
In each village in which a water works, electric light plant, artificial or natural gas plant, or other similar public utility is situated, or when the legislative authority thereof orders a water works, electric light plant, natural or artificial gas plant, or other similar public utility, to be constructed, or to be leased or purchased from any individual, company, or corporation, or when such legislative authority determines to establish a schedule of rates or charges of rents for use of the sewerage system and sewage pumping, treatment, and disposal works of the village, such legislative authority shall establish a board of trustees of public affairs, which shall consist of three members who are residents of the village.
In the year 1967 one member shall be elected for a term of two years. In the year 1967 and quadrennially thereafter, two members of the board of trustees of public affairs shall be elected for a term of four years; in the year 1969 and quadrennially thereafter, one member of the board of trustees of public affairs shall be elected for a term of four years; and thereafter all members shall have four year terms, except that members of boards of trustees of public affairs established after July 26, 1967 shall be elected as follows: at the next regular election of municipal officials occurring more than one hundred days after the appointment of the first members of such board as provided in this section, one member shall be elected for a term of two years and two members shall be elected for terms of four years each; and thereafter all such members shall be elected for terms of four years.
When the legislative authority establishes such board, the mayor shall appoint the members thereof, subject to the confirmation of the legislative authority. The successors of such appointed members shall be elected at the next regular election of municipal officers held in the village which occurs more than one hundred days after the appointment.
In case of a vacancy in such board from death, resignation, or otherwise, it shall be filled for the unexpired term by appointment by the mayor, subject to confirmation by the legislative authority.
The board shall organize by electing one of its members president. Unless the office of clerk of the board has been consolidated with the office of clerk of the village, as authorized by section 733.28 of the Revised Code, it may elect a clerk, who shall be known as the clerk of the board of trustees of public affairs.
R.C. §735.28