I have just found new information with help from the Renfrewshire, Scotland RootsChat forum.
From investigating the death, before they emigrated, of one of the children of Joseph and Rachel (Donaldson) Cairns, I discovered that Joseph's mother's maiden name was Elizabeth Ann Quin.
With that information, I have found on Emerald Ancestors that John Kerns and Elizabeth Ann Quin were married April 15, 1851 in the Loughgilly Church of Ireland, County of Armagh.
It is absolutely astounding how all of the people who participate on these boards have such a collective effect.
Donn Cairns
Colorado Springs, Colorado