Ohio Rev. Code Ann. § 120.06
(A)
(D)
(1) When the state public defender is designated by the court or requested by a county public defender or joint county public defender to provide legal representation for an indigent person in any case, other than pursuant to a contract entered into under authority of division (C)(7) of section 120.04 of the Revised Code, the state public defender shall send to the county in which the case is filed a bill detailing the actual cost of the representation that separately itemizes legal fees and expenses. The county, upon receipt of an itemized bill from the state public defender pursuant to this division, shall pay the state public defender each of the following amounts:
(E)
(2)
(a) Subject to division (E)(2)(b) of this section, payment from the state treasury for the services of private legal counsel with whom the state public defender has contracted pursuant to division (E)(1) of this section shall be accomplished only through the following procedure:
(b) An award of legal fees, court costs, and expenses pursuant to division (E) of this section is subject to the following limitations:
(G)
(J) As used in this section: