Welcome to Roots Chat.
I note the family in 1851. I’m not sure if you have found the 1861 yet but they are still in Fairford, although neither record is too clear, I think Samuels place of birth in 1851 is Wilt. Swindon & 1861 it is Wilt. Market Lavender, which might be Market Lavington some 20 miles from Swindon, so maybe place of birth may not help. Samuels occupation in 1851 is Basket Maker, wife Mary and 61 Engine Driver, wife Mary Ann but at least some o f the children have the same name.
I thought this might help others.
Colin