I don't think there was a County Home ever in St Albans Tp. The only one I know of was farther south. There are some records referred to in holdings at the Licking Co Genealogical Society. The home you refer to in St Albans Tp could have been a boardinghouse. Have you checked directories? Sometimes you can get an address/location on the census & then look that up in a city directory (or vice versa - city directories can be used as an index to the census). At one time, Licking Co was quite a busy place what with railroads, the National Road, the Ohio Canal, etc.