Ohio Rev. Code § 5123.801
If neither a discharged resident, nor a resident granted trial visit, nor the persons requesting the resident's trial visit or discharge are financially able to bear the expense of the resident's trial visit or discharge, the managing officer of an institution under the control of the department of developmental disabilities may then provide actual traveling and escort expenses to the township of which the resident resided at the time of institutionalization. The amount payable shall be charged to the current expense fund of the institution.
The expense of the return of a resident on trial visit from an institution, if it cannot be paid by the responsible relatives, shall be borne by the county of institutionalization.
The managing officer of the institution shall provide sufficient and proper clothing for traveling if neither the resident nor the persons requesting the resident's trial visit or discharge are financially able to provide that clothing.
R.C. § 5123.801