As I have already said it is quite likely that the birth was not registered. Although registration was introduced in 1837 there were still quite a few births that did not get registered. The registration system was tightened up mid 1870's.
It is quite likely that Georges mother was resident in Wrawby at the time of Georges birth, the family could have been resident there for a short while. She then moved to be with Levi in Bolton. Bolton & Wrawby are not really that far apart. At least the place of has not suddenly changed after he left home.
Rosie