Ohio Rev. Code § 2151.68
Immediately upon the organization of the joint board of county commissioners as provided by section 2151.65 of the Revised Code, or so soon thereafter as practicable, such joint board of county commissioners shall appoint a board of not less than five trustees, which shall hold office and perform its duties until the first annual meeting after the choice of an established site and buildings, or after the selection and purchase of a building site, at which time such joint board of county commissioners shall appoint a board of not less than five trustees, one of whom shall hold office for a term of one year, one for the term of two years, one for the term of three years, half of the remaining number for the term of four years, and the remainder for the term of five years. Annually thereafter, the joint board of county commissioners shall appoint one or more trustees, each of whom shall hold office for the term of five years, to succeed any trustee whose term of office expires. A trustee may be appointed to succeed himself upon such board of trustees, and all appointments to such board of trustees shall be made from persons who are recommended and approved by the juvenile court judge or judges of the county of which such person is a resident. The annual meeting of the board of trustees shall be held on the first Tuesday in May in each year.
R.C. §2151.68