Another connection may be that Rev. Robert Cunningham, a Presbyterian left Scotland to escape religious persecution, possibly he was Rev. Robert Cunningham, Hollywood (Holywood) Parish, co. Down, 1615-1636.
There was Holywood both in Ayr, Scotland and Down, Ireland, both connected with the Cunninghams and Adairs. An Alexander Cunningham of Wigtownshire in the early 1600s was granted 1000 acres in the Barony of Boylagh and Banagh, co. Donegal, Ireland.I believe there is an entry for this family at Banagh on the IGI and descendants may have emigrated to America. My old notes made out in the mid-1800s have a Sir William Adair married Philadelphia Cunningham, (dau. of Sir Albert Cunningham of Ayr and his wife Mariana Graham who was dau. of Sir Marmaduke Graham).Unfortunately no dates are given, but perhaps this marriage may have been in the late 1500s or 1600s. I wonder if Robert Adair's brother, Archibald Adair m. Cunningham (refer my message no. 1165 on the Cunningham forum where on 9 Dec 1629 Alexander Cunningham was granted the Deanery of Raphoe when Archibald Adair was promoted.Sometimes the "livings" were transferred from father to son, or to relatives. Any further information or references would be appreciated.