Thomas VESEY
                                              of Oldham, Suffolk co., England
                                              m.
                                              Elizabeth CHURCH (dau of John CHURCH)
                                                  |
                            Thomas ATHEROLD = Mary VESSEY
                            of Burgh Suffolk
                                   |
                            Thomas ATHEROLD = Mary HARVEY (dau of John HARVEY)
                            b. ~1590
                                            |
                  Col. William BALL = Hannah ATHEROLD (ATHERALL)
                  b. ~1615    m. 2 July 1638   b. 1619

Some Sources:
Heck, Earl L. W. Col. William Ball of Virginia: Great Grandfather of Washington. Sydney Wm. Dutton (publisher).
Hardey, Stella Pickett. Colonial Families of the South States of America. Southern Book, 1958.
http://www.vanygenealogy.com/ball.htm
Bradley, Leonard Abram. History of the Ball Family. 1916
History of the Ball Family: Descendants of Thomas Carter Downman Family
Genealogy of Virginia Families: Vol. 1, page 799