I think this is your group in 1851 in Staunton Parish

which I suspect means they are at Coal Pit Hill , a very small hamlet between Staunton and Christchurch / Berry Hill
( Coalpit Heath is over the River Severn near Bristol)

HAWKINS James 30 Labourer West Dean
Elizabeth 30 West Dean
Elizabeth 5 Scholar West Dean
Thomas 4 Scholar West Dean
Lydia 2m West Dean

http://www.old-maps.co.uk/
co-ords 356080,213045