What's also good to know if you are researching in Bilston is that a lot of Bilston church registers are already on FREEREG.
http://www.freereg.org.uk Also Wolverhampton, St Peter's Collegiate Church marriage register, where many Bilston marriages took place ande others in Wolverhampton.
Unfortunately don't seem to have Walsall registers yet.
I just found a baptism for Joseph s/o George and Diana on 22/2/1829 which also told me that they lived at Bilston Mill and his father was a roll turner.
Due to the large number of entries I used George Onions on the baptisms search. The search is open about where it finds each part of the name so that limits it to results where the baptised person is called George or the father.
Susan, you are right to be wary about getting the right George though, as searching that way showed me there was also a family in Bilston with George and Mary Onions having babies baptised at about the same time.