The Griffith's index shows 9 entries for Kilduff in Galway, 1 in Kilcloony civil parish, 3 in Killosolan, and 5 in Killeroran, including Thomas, Edmund, and John in Cornanantybeg. Killeroran and Killian RC records are on LDS film 0989749, items 1-3, years 1804-80 with some gaps. I think the Lawrence hunch is a strong one, as not a common name. (My grandfather named his second son after a brother who had died 10 years earlier.) Diane