Ohio Rev. Code Ann. § 5153.44

Each county in the district, organized under section 5153.36 of the Revised Code, shall be entitled to one trustee, and in districts composed of but two counties, each county shall be entitled to not less than two trustees. The county in which a district children's home is located shall have not less than two trustees, who, in the interim period between the regular meetings of the board of trustees, shall act as an executive committee in the discharge of all business pertaining to the home.