There are a couple of Samuel Edwards christening children in this kind of timeframe.
One is a licenced victualler, wife Jane, living in Greenwich and christening children at Deptford St Nicholas.
The other is a cabinet maker who is christening children in Southwark St Saviour. Mother of one child chr in 1816 is Ann, and mother of another chr in 1823 is Jane. Father Samuel in both cases is a cabinet maker. Unfortunately I can't see a daughter Jane though.
Not much use , but I thought I would mention them as dates and places and names seem to fit. I will be interested to find out father Samuel's occupation.