Hi there,
I've good news and bad news - I think I have located your family by using a name index search for Herefordshire, they are living in Lea, but no George I'm afraid, so still not able to prove he is their son, anyway heres what I've got for 1851 - (it wasn't in the best condition so a little difficult to read, please accept my apologies for any mistakes in transcribing)
1851Butchers Arms ?
William Dowding 42 Head M Butcher Gloucestershire, Longhope
Mary A '' 36 Wife M Butchers Wife Herefordshire, Westbury
Frederic '' 17 Son Un Butcher Gloucestershire, Lea
Sarah '' 13 Daur Un '' ''
Patience '' 11 Daur '' ''
Elizabeth '' 8 Daur '' ''
William '' 7 Son '' ''
Mary A '' 5 Daur '' ''
Arthur Hilman 35 Lodger M Postman Unknown
HO107/ 1976/ 309
They aren't in Weston in 1841 so may have already moved to Lea by this time. The bad news is Lea is in the Gloucestershire Registration District in 1841, and I haven't got that one
I have got the 1861 for Herefordshire though and it contains the village of Lea, but guess what - they're not here.
I had a quick look on the 1871 and can see that by this time they are living in Longhope, Gloucestershire so may'be they are already there by 1861.
It would be worth your while posting a look-up request on the Gloucestershire pages for 1841 (Lea) and 1861 (Longhope) and hopefully some kind soul will come up with all the answers!!
Anyway best of luck
Sue