Hi Isabel
working on the theory that Rachel was 20ish when she married, I have found this family in the 1851 census
James SMITH Head W 39 Silk Weaver Norwich
Christopher SMITH Son U 10 Sunday Scholar Norwich
Caroline SMITH Daur U 6 Sunday Scholar Norwich
Rachel SMITH Daur U 3 Sunday Scholar Norwich
Eight Ringers Yard, Norwich St Michael Coslany
HO/107/1812 Folio 287, Pg 24
hope it's of some use
regards
yokel