Ohio Rev. Code § 3707.30
Hospital buildings constructed under section 3707.29 of the Revised Code shall be under the care and control of the board of health of the city or general health district in which such buildings are located. The board shall appoint all employees or other persons necessary to the use, care, and maintenance thereof, and shall regulate the entrance of patients thereto and their care and treatment.
When a person having a dangerous contagious disease is found in a hotel, lodginghouse, boardinghouse, tenement house, or other public place in the municipal corporation, the board, if it deems it necessary for the protection of the public health, may remove such person to such hospital, where all needful provisions shall be made for the person's care and treatment. If such person is able, the expense so incurred shall be paid by the person.
R.C. § 3707.30