Hi,
Do you think that this William and family is a possibility?
Farnham, St Andrew
02 Mar 1836
William
Mother: Sarah Wells Base Born
Abode: Hungry Hill
Farnham, St Andrew
04 May 1838
Ann
Mother: Sarah Wells Base Born
Abode: Hoghatch
MarriageWilliam GILLIAM
Full Age
Bachelor
Labourer
Residence: Hungry Hill
Father: Henry GILLIAM, Butcher
Sarah WELLS
Full Age
Spinster
Residence: Hungry Hill
Father: John WELLS, Blacksmith
Witnesses: William WELLS, J S WARD
1841 HO107/1076/9 f.17 P.27 Reigate, Surrey
No.2 Turf Cottages
GILLAM
William 30 Rail L
Sarah 25
William 5
Ann 3
Henry 1
All born in County.
1851 HO107/1679 f.145 p.24 Alton, Hampshire
Normandy St
GILLIAM
William Head 37 Ag Lab Hants Crondall
Sarah Wife 39 Middx Feltham
William Son 15 Surrey Farnham
Ann Daur 13 Hants Crookham
Henry Son 11 Surrey Reigate
Jane Daur 6 Hants Alton
Tryphena Daur 3 " "
John Son 2m " "
William and Sarah also have a daughter called Sarah born in 1853.
It looks like Sarah Snr dies in Mar Q 1859 and is buried on 05 Mar 1859.
Ann marries as Ann GILHAM on 16 Jan 1859 to George WHITE. William GILLIAM Snr is living with them in 1881.
I can follow all the family members here except William WELLS/GILLIAM b.1836 Farnham. I wonder if after his mother died he reverted to using WELLS as his surname?
The name of Thomas WELLS as William's father on his marriage cert. could just be made up because he didn't want to look illegitimate or it could be the name Sarah told him his father was.
I have seen lots of variations given on marriage certs. before, step-father's names (as Ann used above), grandfather's names, the father's real christian name but with the mother's maiden surname and name that just seem totally made up

This may or may not be the case for 'your' William but I think all options should be considered.
Regards,
Daisy