Ohio Rev. Code Ann. § 5553.051

The board of county commissioners may establish a fee to cover the actual costs the county incurs in providing published notice and mailed notice as required by section 5553.05 of the Revised Code. The board may require an initial deposit to be paid at the time a petition for vacation of a road is filed under section 5553.04 of the Revised Code or promptly thereafter. The clerk of the board shall maintain an accurate and detailed accounting of all funds received under this section and expended in providing the required published and mailed notice.