Both of these names are of interest to me, Noble and Courtney. What information do you have on Mary, have you got the shipping information? Is that where you found the parents names? Do these profiles exist on Wikitree yet?
If you haven't tried already the Irish times site it is a good place to search for existing records on Armagh.
25-Nov-1807, ARMAGH Church of Ireland=Elizabeth Noble of Armagh married Edward Courtney of the 27th Regiment of Foot.
http://ifhf.rootsireland.ie/view_detail.php?recordid=1649284&type=mch&recordCentre=armagh&page=1
and
http://search.findmypast.com/record?id=ire%2fdioc%2fmar5769
Edward Courtney, 2nd Bath, 27th Regiment Of Foot was born c1781, Tartaraghan, Armagh County, Ireland.
http://search.findmypast.com/record?id=gbm%2fwo119%2f29626
A Capt. Robert Courtney (1752-1840) and his wife, Anna Wilson, are buried in Tartaraghan. I suspect they are related to Edward.
http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GScid=2455040&GRid=85644176&