Debra,
Further to my earlier message, there’s about 40 trees on Ancestry that list some of this family. The top one I located was the Moyer (Beaumariage) tree. It has James Rutherford’s parents as Christopher Rutherford born 12.8.1855 in Enniskillen who married Margaret Armstrong in the US in 1895. It names Christopher junior’s parents as Christopher senior and Sarah Little. However I think there is something faulty with that information. Christopher and Sarah married in 1866 and according to the 1911 census only ever had 5 children, none of whom was named Christopher:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_re…
Their children, so far as I can determine, were:
James born 2.11.1866
Elizabeth 8.4.1868
Sophia 20.8.1871
Henry 16.12.1876
Frank 15.4.1880.
All 5 were alive in 1911. There was no Christopher born in 1855, which would have been 11 years before the couple married (and when Sarah was around 15). So I am not certain this tree is accurate. Neither Christopher nor Sarah had been married previously so unless Christopher junior b 1855 was illegitimate he doesn’t seem to fit into this family.
Here’s Sophia b 20.8.1871 in Corralongford, which is not too far from Lisnaskea.
https://civilrecords.irishgenealogy.ie/churchrecords/images/birth_returns/births_1871/03283/2203282.pdf
Father’s occupation was a gatekeeper. Corralongford is where Lord Brookeborough’s estate is located and so it looks as though that Christopher was employed on the estate as a gatekeeper. Between Fivemiletown and Brookborough village.
By the 1901 census Christopher and Sara were living in Aghnagrane:
http://www.census.nationalarchives.ie/pages/1901/Fermanagh/Cross/Aghnagrane/1356232/
and in 1911 in Brookborough town:
http://www.census.nationalarchives.ie/pages/1911/Fermanagh/Brookeborough/Brookeborough_Town/521969/
I’d be inclined to check the information in the US sources. Do you have James Rutherford’s marriage certificate and does it name his parents as Christopher Rutherford and Margaret Armstrong? Does Christopher’s marriage certificate name his parents? (I am struggling to see how they could be Christopher Rutherford and Sarah Little).
I looked at the Houston family tree on Ancestry for Margaret Armstrong’s origins. That tree has Margaret Armstrong born in Glasgow on 25.1.1867 to David Armstrong and Janet Lynn Yardley. It contains the birth of a sibling Ralph Early Armstrong on 24th Jan 1877. I looked at Ralph’s birth certificate on the Scotlandspeople site. His date of birth is 27th Jan 1877 at The Law, Carluke, Lanarkshire. His name was Ralph Airlie Armstrong and his parents were David Armstrong (a collier) and Janet Airlie. They had married in December 1873 in Shotts, Lanarkshire. (Yardley/Airlie seem likely variants of the same name). On the face of it they don’t seem likely to have had a daughter Margaret born 7 years before they married. Janet would have been 11 in 1867 so again something’s not right.
I looked at the 1881 census for Carluke (attached), and it tells me that David Armstrong was born in Ireland c 1851, but his wife Jessie (a variant of Janet) was born in Scotland. As were their children, including Margaret born c 1879. So that’s evidently the correct year for her birth. I notice that there was an Early family (another spelling of Airlie and Yardley) living right next door, headed by another Ralph. Presumably some relation to Janet, I would guess.
It’s really important to get Margaret’s parents names verified from her marriage certificate or death certificate to be sure you are researching the correct line. (Marriage certificates are better as most people know their own parents names whereas with death certificates the information has to be 3rd hand and the scope for error increases).
David Armstrong will have gone to Scotland for work. (Tens of thousands of people from Ireland did the same thing as there were many employment opportunities there that didn’t exist in Ireland. Scotland had natural resources like coal and oil. Ireland has almost none). It’s possible that the whole family moved so you might find that David’s parents (whose names you’ll get from his 1873 marriage certificate) also lived and died in Scotland.