Hi
If you have his fathers name please can you list it, it would not be possible to confirm any John Williamson as being "right" without a name to link him to.
I have searched the 1841 census and find only one John Williamson indexed of the right age and in Chester, he is in the Chester City Goal and a labourer aged 19.
The Chester RO will do a search for you in the parish registers, email them at the address in the link below.
not much help sorry.
peterbennett