Ohio Rev. Code § 759.20
The mayor of a village owning a public burial ground or cemetery may appoint a board to be known as the board of cemetery trustees. Such board shall consist of three members, whose term of office shall be three years, but the term of office of the members first appointed shall extend until the first municipal election thereafter, and until the officers chosen at such election are qualified and placed in office. Thereafter the mayor shall appoint a board of three trustees as follows: One for a term of six years, one for a term of four years, and one for a term of two years. Biennially thereafter, after each municipal election has been held and the newly elected officers have been qualified and placed in office, the mayor shall at the first meeting of the legislative authority of such village appoint one member to the board whose term of office shall be for six years.
R.C. §759.20