Ohio Rev. Code Ann. § 2109.55

If a judgment is rendered in the name of the state under section 2109.52 of the Revised Code and there is no fiduciary within this state, the prosecuting attorney shall cause the certificate provided for in section 2109.54 of the Revised Code to be filed in the clerk's office and proceed to execution on the judgment as provided in that section. The prosecuting attorney shall pay the money realized upon the execution to the county treasurer for the use of the estate, testamentary trust, or guardianship, reserving the compensation to the prosecuting attorney that the probate court allows.