Ohio Rev. Code Ann. § 2335.13

In felony cases in which the state fails, and in misdemeanor cases in which the defendant proves insolvent, the board of county commissioners, at its first meeting in January, shall make an allowance to constables, in the place of fees, but in no year shall the aggregate allowance to such officer exceed the fees legally taxed to him in such causes, nor, in any calendar year, shall the aggregate amount allowed such officer and his successor exceed one hundred dollars. If there is a successor, such amount shall be prorated on the basis of lost fees.