Ohio Rev. Code Ann. § 120.33
(A) In lieu of using a county public defender or joint county public defender to represent indigent persons in the proceedings set forth in division (A) of section 120.16 of the Revised Code, the board of county commissioners of any county may adopt a resolution to pay counsel who are either personally selected by the indigent person or appointed by the court. The resolution shall include those provisions the board of county commissioners considers necessary to provide effective representation of indigent persons in any proceeding for which counsel is provided under this section. The resolution shall include provisions for contracts with any municipal corporation under which the municipal corporation shall reimburse the county for counsel appointed to represent indigent persons charged with violations of the ordinances of the municipal corporation.
(1) In a county that adopts a resolution to pay counsel, an indigent person shall have the right to do either of the following:
(2) The court having jurisdiction over the proceeding in a county that adopts a resolution to pay counsel shall, after determining that the person is indigent and entitled to legal representation under this section, do either of the following:
(D)