James Allen and Mary Hands were married in St Martins.
I have found one christening in St Martins - Charles, born 26 Nov 1815, christened 7 Jun 1816. There are a couple of others on the same batch (C010723)in FamilySearch, but the father is James Smart Allen, so I think that could be a different person?
However, the following appear at St Phillips with parents James and Mary (or James and Mary Ann) (batch C041796):
James - christened 19 Apr 1813
James - born 14 july 1817
Thomas - born 12 nov 1818, christened 20 Jun 1821
Mary Ann - born 1 Jan 1821, christened 29 Jan 1821
I think that this is the best I can do without the full parish registers. Perhaps someone with the registers on DVD can provide further leads.
[Incidentally, I never did work out if James fitted in with my research - do you know who his father and siblings were?]