Ohio Rev. Code Ann. § 5123.0411

The department of developmental disabilities may bring a mandamus action against a county board of developmental disabilities that fails to pay the nonfederal share of medicaid expenditures that the county board is required by sections 5126.059 and 5126.0510 of the Revised Code to pay. The department may bring the mandamus action in the court of common pleas of the county served by the county board or in the Franklin county court of common pleas.