I think you mean his father!
I have searched for a baptism for Caroline without success so far. I'm wondering if one of them was non-conformist in that I have found some Eveleigh burials listed in the Christchurch Independent records and an entry in an index of non-conformist baptisms for a John Eveleigh baptised in Christchurch in 1790. One of the burial entries was for an Elizabeth Eveleigh in 1833, aged 40.
In 1841, a John Eveleigh, bricklayer, living in Christchurch, seems to have a wife Maria. There is a marriage in 1835 for John Eveleigh to Maria Marshall in Christchurch.
Nell