Thank you so much all of you who have replied to my post. I do already have some of the information but was fascinated to see the baptism registrations for Elizabeth Frances and Eliza because on the London, England CofE Births and Baptisms 1813-1917 there are baptism entries at St.Leonards (pp21/22) on 30 March 1834 for Elizabeth b.20/12/1822, Sarah b.26/7/1820 and Esther b.26/12/1833 all with parents John & Sarah Williams, he a watch finisher, living at Tenter Row. The dates don't allow for this to be a second Elizabeth after the death of another so maybe they had fogotten she had already been baptised!
The two baptism entries for John are both possibilities, particularly perhaps the Engraver father and I will try to follow up the Freedom of the City papers and the death entries. Nightmare name to have to deal with!