Hi Sheila,
I bought a birth cert years ago for one of Hannah's children, since there seemed no other way of finding out her maiden name. There is a Holm Cultram transcript at Carlisle RO, which I checked a few times in the past, but this family seemed to be largely absent from the records of the parish church. I've wondered if they were nonconformists of some sort.
I haven't thought about this family for a while, but I think I concluded that Hannah's parents were the following, who married at HC on 17 Aug 1799:
Willam Beattie of the Parish of Holm Cultram Bachelor aged 24 and Anne Messenger of same Parish Spinster aged 20 and upwards. Licence.
William Beattie
Ann Messenger
Thomas Messenger
Isaac Potts
I think the Beattie mentioned above is from the same family. A James Beatty married an Ann Wise in Annan on 12/6/1801 - "both of Abbeyholm" - and I believe he was William's brother.
I'm wondering if the Fearons maybe married by licence. I've seen printed Carlisle marriage bonds up to 1800. They also lived in Caldbeck at one point.
Best wishes,
Stephen