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In the 1841 census Joice is living in Rushden and Thomas Odell, 25 is living nearby; he may be a brother.
In 1851 Joyce's birthplace is given as Irthlingborough (mistranscribed); Irchester, Rushden and Wellingborough are also close, so these 1841 census entries may also be connected:
Wellingborough (HO107/801): George Odell, 30; Louisa Odell 25; Philippa Odell, 55.
Irchester (HO107/802)
John Odel (transcribed as Adel), 50
Sarah Odel, 50
+ Samuel, 25; Isaac, 19; Elizabeth, 16; Jacob, 14; Rebecca, 10; Joses, 5
(In the 1851 census Sarah's birthplace is also Irthlingborough, although the children's was Irchester)
None of these may be connected, but they give alternative avenues to explore, particularly as Joyce may have called her son (John) after her father - although I have to say that Joyce isn't as biblical as the other names seem to be!
Her marriage certificate would, of course, give her father's name:
Dec 1842
Wellingborough 15 789
Richard