Hi Stretchie
You haven't mentioned the first marriage, but I assume you are aware of this:
George FARMER m. Mary PRICE, 29 Sept 1831 in Dodderhill
[Source: IGI, patron submission]
I assume that you have the birth certificate of one of the children of Thomas & Mary Bunn and that the mother is described as 'Mary Bunn late Farmer formerly Price'?
The IGI also has the following baptism record:
Elizabeth FARMER, b. 21 Sept 1828, chr 26 Dec 1828 Saint Martin Birmingham Warwick
Father: George FARMER Mother: Mary Ann
This indicates that a couple called George and Mary Ann Farmer were active in St Martin's Birmingham before the 1831 marriage in Dodderhill, so it looks like the 1833 burial at St Martins is not the right George Farmer.
Additionally, did you discount the following record?
George FARMER (age 27) bur 11 Nov 1832 at Elmbridge St Mary, Worcs.
[Source: NBI]
Elmbridge is not far from Dodderhill, so ....