I am a decendant of Alexander Templeton and his wife, Catherine, via their son Thomas and his wife Jane Lawson.
The family can be found in 1841 at St. Bees in Whitehaven and the following censuses show them living in Upperby in Carlisle. Each census gives only Ireland as place of birth.
So far no clues have been found as to where in Ireland they were born, nor to Catherine's maiden name.