Ohio Rev. Code § 302.11
The board of county commissioners shall organize on the first Monday of each year, by the election of one of its members as president and one other member as vice-president for terms of one year. The president shall preside at all regular and special sessions of the board.
Notwithstanding section 305.05 of the Revised Code, when the president of the board is absent from the county or unable to perform his duties, or in case of death, resignation, or removal, the vice-president shall act as president pending any future meeting of the board at which it may select one of its members to become the president.
Except as provided by sections 302.01 to 302.24, inclusive, of the Revised Code, the president of the board shall have all powers and duties vested in or imposed upon the president of the board by general law.
R.C. § 302.11