I note that James and Margaret give their 'native place' as Newcastle and religion as Epicopalian, while David and his Hannah give Native Place as xxxxxxxxwick, Northumberland and religion as Presbyterian.
Here's a long shot.............
Lots of HUME family arriving 31 Jan, 1839 on the Andromache. As all of them give their 'native place' as Newcastle on one list I suspect they may be family. They are all bracketed together and then each couple bracketed again. the list below incorporates more than one immigration list, so I have combined the slightly different information.
Andrew HUME, 29 Carpenter,, Northumberland
Mrs HUME, 27, (Anne Amelia), dressmaker, Newcastle
Robert HUME, 2, Newcastle
(Marriage for this couple from FamilySearch)
Ann Amelia Mitford m Andrew HUME
15 Nov 1835, Saint John'S Parish, Newcastle Upon Tyne, England)
Robert HUME 25, mason, Northumberland
Mrs HUME (Sarah), 22, Northumberland, straw bonnet maker
Thos HUME, 21, mason, Northumberland, s/o Andrew and ? Gardiner
Mrs HUME, (Mary) 20, dressmaker, Durham, d/o James POTTS of Newcastle
George HUME (single) 22, plasterer, Northumberland
Mrs HUME, mother to above.(Ann nee STIRLING ?) m Andrew Hume, 2 Jun 1803 at Eglingham, Northumberland, England
Now the question is - are these your family?
I see this baptism which is possibly your James
FamilySearch
James HUME
Baptised 27 Sep 1815, All Saints, Newcastle-Upon-Tyne, Northumberland, England
Mother: Anne Hume (so possibly the mother of the HUME family arriving 1839)
FHL Film Number: 1068962, Reference ID: item 3 p 147
There is at least one on-line tree which suggests that your James is a sibling of the above, however I would need a bit more of a hunt to verify this.
I'm thinking that IF Matilda had all these aunts and uncles it's possible that she was living with one of them. She was only 6 when her mother died.
Judith