Ian,
On the 1841 census Beaufort Square is shown under ED7; HO107/1366/14 Folio 42-44, Pages 19-23.
There appear to be 21 Households.
Enumerators Schedule also mentions Beaufort Square.
The 1861 census simply shows 'Square'. ED8 this time, and it is associated with Beaufort Ironworks.
This time there appear to be just 16 Households.
RG9/421844/p31-34
Hope this helps to nail it down; I haven't been scouting yet, but if this weather keeps up, I will have to find the time.
Cheers,
Rob