Hi Jacky
Square House (or at least, Square Hall) still exists as an address in the 1841 census, with just one family, headed by Charles Willans, a farmer, living there, so it doesn't look like it was the poorhouse. It comes between the returns for Almondbury Common and Bottoms, so was possibly in the area where Lumb lane joins Sharp Lane, and around half a mile from Clough Ings.
regards,
Lesley