Elisabeth Cumberland

Did Elizabeth die in Scotland, 1855 onwards? If so, her death certificate should give you her parents names, whether they were alive or dead and her father’s occupation. Do you have that information?

Cumberland is not a common surname in Ireland. In the 1901 census of Tyrone there were just 4 households. 2 of them were Clonfeacle. This first in Roan:

http://www.census.nationalarchives.ie/pages/1901/Tyrone/Benburb/Roan/1732950/

And this in Dunamony.

http://www.census.nationalarchives.ie/pages/1901/Tyrone/Derrygortrevy/D…

Both were Presbyterian.  I see that Elizabeth married in the Church of Scotland (so was probably Presbyterian). Clonfeacle has 3 Presbyterian churches – Benburb, Eglish & Moy. Benburb has existed since the 1600s but only has records from 1874. Eglish has existed since the 1700s but again only has records from 1856. Moy is a comparative recent church being founded around 1848 so too late for your family. So sadly neither church has records for around Elizabeth’s birth.

I can see some Cumberland marriages in Eglish, so that indicates that it was used by some Cumberlands in the area:

https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1895/10542/5840000.pdf

If your Cumberland family was Presbyterian and living in Tyrone then they are likely to be descended from Scots settlers who moved to the area in the 1600s.

Possibly DNA testing may be a way of matching with others who have additional information about where the family originate. Family Tree DNA reportedly has more people with Ulster roots than any other company. That obviously increases the chances of finding a match. You might want to try them or, if you have already tested, you can transfer your results to them for no fee.

The North of Ireland Family History Society is running an Ulster DNA project in conjunction with FTDNA and can offer testing kits at a reduced price.  http://www.nifhs.org (Go to DNA project on the website).