Ohio Rev. Code Ann. § 5120.13
(B) Whenever an inmate confined in any state institution subject to the jurisdiction of the department dies, escapes, is discharged or paroled from the institution, or is placed on a term of post-release control under any section of the Revised Code and personal funds of the person remain in the hands of the managing officer of the institution and no demand is made upon the managing officer by the owner of the funds or the owner's legally appointed representative, the managing officer shall hold the funds in the personal deposit fund for a period of at least one year during which time the managing officer shall make every effort possible to locate the owner or the owner's legally appointed representative. If, at the end of this period, no demand has been made for the funds, the managing officer shall dispose of the funds as follows: