hi lnr
In case you don’t know my favourite Co Down website may not have the Drumlough information but perhaps something you don’t know I had a quick look in case
http://freepages.genealogy.rootsweb.ancestry.com/~rosdavies/SURNAMES/C/CairnsKearns.htmJohn CAIRNS/ KEARNS . Dromore husband of Mary Gorman ; father of Nancy b. 26 Feb 1824 & & Mary Jane b. 28 Jul 1826 & bpt. Dromore Church of Ireland
John KEARNS . Dromore father of John bpt. 25 May 1806 at Dromore Church of Ireland PR
John CAIRNS/ KEARNS . Dromore husband of Mary Gorman ; father of Nancy b. 26 Feb 1824 & & Mary Jane b. 28 Jul 1826 & bpt. Dromore Church of Ireland PRPR
John CAIRNS . Dromore husband of Catherin McDowell ; father of William John b. 7 Mar 1837 & Margaret Jane b. 10 May 1838 & bpt. Dromore church of Ireland PR
William KAIRNS . Dromore husband of Anne ; father of Margaret Jane b. 5 Apr 1846 & bpt. at Dromore Church of Ireland PR
there are several other dromore folk listed and alexanders
she also has Drumlough Presbyterian Church
at the eastern end of the parish,
Records from 1827, PRONI has births from 1842; graveyard nearby, gravestone inscriptions UHF Vol 19 ; oldest grave 1830; email me Ros davies for a gravestone look-up
Note records 1827-1841 might exist at church or eg Presbyterian Hist Society etc
the website
http://www.irishgenealogyhub.com/down/tithe-applotment-books/dromore-parish.php#.VheNj0vU4YU has no Cairns but does have.
Kearns, Geo. Townland: Drumlough Year: 1834
Kearns, Jas. Townland: Ballyvicknakelly Year: 1834
Kearns, Thos. Townland: Drumlough Year: 1834
Kearns, Wm. Townland: Drumlough Year: 1834
Kearns, Wm. Townland: Edentrillick Year: 1834
good luck onwards