In the deaths uncovered by Lisa we have a Thomas Badger buried in 1845 age 24. The death register shows a date of 15 March whilst the MI shows 11 March. e.g. he died 11th and was buried on the 15th. The age 24 could easily have been wrongly transcribed as 34.
On the 1841 census there is a Thomas Badger (25 years - rounded up?) with a Mary Badger (40 I think? - rounded down) both born outside county. Family search has 4 Thomas Badgers with a mother Mary 1820, 1821 and 1822.
Thomas is also shown as a Grocer, I think, my census doc is not very clear.
Whilst very interesting I don't think this is related to Edward or James.
I do however have some doubts about James mother being Martha or Maria. Lisa did you see the original document? could Maria be wrongly transcribed as Martha. Why did James and Rebecca name first child Maria? After his mother/her mother or just because they liked the name?
Ray