No luck so far, I'm afraid.
But here is a train of thought which could be a complete red herring.
In 1851 the family appear to be living in Staunton with children Mary Ann (

, Marian (6), William (2) and George (1) (repeated name in his memory?). Ann is 40, George senior is 34.
With them is a 'relative' George Jones aged 19.
There is a George Jones born in Hanley Castle in 1831 to parents George and Anne. Perhaps Ann Williams was previously married to George Jones.
Having said that, I can't find a marriage matching any of these names

Bev