Hi
Take a look at the IGI there is a James Arthrell baptised 25 April 1810 in Reigate Surrey to a Henry and Abigail Arthrell. Could very well be your James.
In 1841 Henry and Abigail are in Warwickshire.
To verify this you could obtain the marriage cert of James and Elizabeth.
1841
Henry Arthrell, age 50, gardener, not born in county
Abigail age 50, not born in county
HO 107 1127
folio 2/6 page 6
Baxterley, Warwickshire
There is an Elizabeth Bilson, baptised 11 June 1816 in Ansley mother Mary Bilson.
I will have a plough through the 1871 for James, see if he was somewhere else of in fact had died by then.
Nicky