My Lymburner ancestors came from Ayrshire. Janet Lymburner in parish of Dalrymple and Andrew Sloan from Ochiltree were married on Feb 12 1802, and then lived in Ochiltree, where they had a large family. Janet Lymburner was probably the daughter of William Lymburner and Mary Andrew of Riccarton, born 1775. There is another Sloan/Lymburner marriage..Feb 1798, between William Sloan of Ochiltree and Cunningham Limeburner (sic) of Riccarton. Does this ring bells for anyone?