Ohio Revised Code Title III. Counties § 307.55

(A) No claims against the county shall be paid otherwise than upon the allowance of the board of county commissioners, upon the warrant, including an electronic warrant authorizing direct deposit for payment of a county obligation in accordance with division (F) of section 9.37 of the Revised Code, of the county auditor, except in those cases in which the amount due is fixed by law or is authorized to be fixed by some other person or tribunal, in which case it shall be paid upon the warrant of the auditor upon the proper certificate of the person or tribunal allowing the claim.

(B) No public money shall be disbursed by the board or any of its members, but shall be disbursed by the county treasurer, upon the warrant, including an electronic warrant authorizing direct deposit for payment of a county obligation in accordance with division (F) of section 9.37 of the Revised Code, of the auditor specifying the name of the party entitled to such money, on what account, and upon whose allowance, if not fixed by law.