On the 1871 census Clarke's Buildings are between 23 County Road and 24 Gaol Road.
Both roads still there. Near H M Prison Stafford.
If you have Ancestry you can see the route taken for the census.
Both sides of County Road, west side of Gaol Road to Gaol Square
.
If you have FindMyPast you can find 23 County Road on the 1939 Register and look at the 3 maps 1888-present day.