Google is your friend wilrob.

How many censuses do you have your person on? Which ones say he was born in Norfolk and which say Chester (Cheshire)?
Presumably you are trying to trace the man's origins and his birth? If you would like to give details of the family and the man in question I'm sure you'll get some willing helpers.
Without knowing anything more at this point, I would suggest that you
may like to check that you are not looking at two men of the same name. (However sometimes there are odd differences in places of birth on the censuses).