Ohio Rev. Code § 5155.22
In any county having a county home, when the superintendent or administrator, after making the inquiry provided by law, is of the opinion that the person complained of is entitled to admission to such home, he shall forthwith complete a statement of facts showing cause for admission to the home. If it appears that such person is legally settled in the township or has no legal settlement in this state, or that such settlement is unknown, and the superintendent or administrator of the home is satisfied that such person should become a resident of the county home, the superintendent or administrator shall admit such person as a resident and shall receive and provide for him in such facility forthwith, or as soon as the physical condition of such person will so permit. The county shall not be liable for any relief furnished, or expenses incurred by the board of township trustees or by a municipal corporation.
R.C. §5155.22