Ok have now found the 1843 marriage (Haultdaufterhyde) and the 1822 baptism of James Haltaufterhyde to David and Elizabeth (not Frances). David was an army pensioner.
I don't think you can presume the 1842 death is of James' father as it could just as well be of the David baptised in 1838, unless you have found him later.
There are various Haltaufderhyde (etc) events in the late 1830s (baptisms), a birth of a Lavina in Sep qtr 1841 and the 1842 death and 1843 marriage. Each of these records will give an address. Have you searched the 1841 census by address for each of these addresses from the records you have?
I have seen the bankruptcy records for James from 1869 but they seem to postdate the move north by a decade or so, going by children's birthplaces. Also they give James' name as Haultaufderhyde trading as Hyde, so the change may have been initially just the adoption of a trading name, even if the family did take on the simpler name of Hyde from then on. Unless you have other evidence it seems to me dangerous to assume that the move or the name change were motivated by a desire to evade creditors.