Hi Elizabeth
The name Carney is in my family, though it changes each time it re-appears in a census.  Variations include: Cairnie (my mother's maiden name) Kearney, and Karney.  My mother attended St John's Lawside but I don't know which (Catholic) primary school.  Finlay Cairnie, my grandfather, has the surname Kearney on his birth cert.    He was one of 6 sons, Charles, John, Patrick, Stephen and Hugh. I've traced 4 generations of Carnie/Carney etc who lived and died in Dundee.  James Kearney c 1790, we think came over from Tyrone.
Anne