Searching for Mures, Muirs, Moores in Early Ayrshire

[Susan Susan]

Hello from afar. I'm a Moore through my grandfather, writing a book about my family (SCOT to the north of IRE, then to the states). I have no early ancestors' names bit am guessing we once were tenants at Rowallan or another Muir holding, likely leaving early in the 18th c. I've read Sir William Mure's history of the family and have other sources, tho the info is mostly generic. Is the Muir name (by any spelling) still represented in Ayrshire? Does anyone know why/how we left for the north of IRE? Any tips, leads, suggestions are most welcome. Many thanks.