Hello Crichtonl,
The Cheshire Record Office Wills Database has a Will for a William Burton, Chester, pawnbroker, dated 1853. It is possible to buy this online via the Record Office website.
Looking at the Cheshire Parish Database, there are baptisms for William and Anna BURTON, William described as a Cabinet Maker of Northgate Street. For example:
Chester St John's 02/09/1818 baptised Margaret, daughter of William and Anna Burton.
Chester St John's 05/04/1820 baptised Ann, daughter of William and Anna Burton.
Chester St John's 01/02/1824, baptised Leonard Samuel, son of William and Anna Burton.
Chester St John's 07/04/1826, baptised Jane, daughter William and Anna Burton.
Chester St John's, 01/02/1828, baptised William, son of William and Ann Burton.
Chester St John's 06/01/1830, baptised Mary, daughter of William and Ann Burton.
Chester St John's 03/07/1831 James John, son of William and Ann Burton.
All the above show that William was a Cabinet Maker of Northgate Street.
There are more. Do you know if this could be the same family?
Also, the RO index of Freemen of the City of Chester has an entry for William Burton, cabinet maker, made "Free" on 13/06/1818. He was made free by his Indenture.
Jo