Another Scenario (other indexers what do you think)

What if and a big if I think if the baptism you found for william with father Josep and mother Sarah is correct.

Then lets say Joseph died circa 1832 and Sarah then married George and George was a relative ie Joseph's brother so the Bramall name continued or

was George the middle name of Joseph and was not registered as such

or

was Joseph upto no good and changed his name to avoid being tracked down

been a long day at work so could be all rubbish