There is an Elizabeth Edwards with daugher Jane of the right age to match a bapt in St Barnabas 1838 and another dau Mary living in a multi occupant building in Fancy Street however all 3 are shown as english born - is this possibly yours

Re Wm caren - the name is often mistranscribed - cain is quite a common mistake - the 3 caren children are wm, jane (for whom I can find a bapt) + james.