Another reference to the vicar
http://books.google.com/books?pg=PA62&lpg=PA62&dq=richard+b...
Alumni oxoniensis: the members of the University of Oxford, 1500-1714: their parentage, birthplace, and year of birth, with a record of their degrees. Being the matriculation register of the University, alphabetically arranged, revised and annotated, Volume 1 (Google eBook)
Page 62
David Erin Patrick I found a good and very current resource on this Ball line - D.J. French's monograph, "The English ancestry of George Washington's mother, Mary Ball - a history of the Balls of Berkshire, Northamptonshire and Virginia" (on line http://maryballwashington.com/)
The good news is that if this wedding of Rebecca Cunningham to Nehemiah Cunningham proves out, we will have an Oxford Divine as a great grandfather
The "bad" news is that he cannot have been the father of Colonel William Ball, of Millenbeck, though to have been born about 1614. Rev. Dr. Ball married in 1615 & only had the 2 daughters.
It is possible (perhaps even likely) they share a common grandfather: Mr. French explores that in this chart:
http://maryballwashington.com/XI.familyTrees.pdf
Or ... Col. Ball may have borrowed his coat of arms design and "self assumed" it. The rascal!