I think it is Society House, referring to the local Cooperative Society.
In the 1855 Valuation Rolls for Linwood there is an entry for John Galbreath, Store Keeper, tenant and occupier of a property owned by the Linwood Spinning Company (as are all 33 of the sites listed on this page). The preceding three listed properties have "Cooperative Society" as the tenant and occupier, and the first of these has an annotation in the 'Observations' column "per John Galbreath, Store Keeper".