Jake could be Jacob.
Added: Just looking at the 1851 census, and this could be interesting:
Garth Heads, All Saints, Newcastle-Upon-Tyne
Margaret Cairns Head W Female 69 born Benton, Northumberland
Henry Cairns Son Unmarried Male 32 Brewery Agent born Mitford, Northumberland,
Jacob Hood Nephew Unmarried Male 27 Brewery Traveller born Monkwearmouth
I was looking through some Hood & Cook Navy records earlier and I'm sure I came across one born Mitford. Will need to go back over.