I have never seen proof positive, but here is some circumstantial evidence.
Wills and Administrations of Accomack County, Virginia 1663-1800, Nottingham, Stratton, Heritage Books, Inc., Bowie, MD, 1990, pg. 5: JOHN STOCKLEY, in his will written, 3 February, 1670/71, names daughters Elizabeth and Ann and in his memo (codicile) he names his son Woodman (Accomack Co, VA Orders 1671-1673, pg. 231).
Virginia’s Eastern Shore, Whitelaw, Ralph T., Peter Smith, Gloucester, MA, 1968, pg. 1267: (Accomack County A148) “1692 Henry and Elizabeth Toules sold the south 207 acres” of the 500 acres he bought from William Kendall in 1690. The balance of 283 acres was another sale in 1715 by Henry and Elizabeth Towls.
Wills and Administrations of Accomack County, Virginia 1663-1800, Nottingham, Stratton, Heritage Books, Inc., Bowie, MD, 1990, pg. 37: ELIZABETH STRATTON (widow of John Stockley and John Stratton), in her will writted 17 June, 1697, names her daughter Ann Atkins, along with Joseph, Matilda and John Atkins and in the Will she namesHenry, Jr., Stockly, Thomas, Job and Condal (Kendal) Toles (Towles). (Accomack Co., VA Wills & ect. 1692-1715, pg. 422)
NOTE: The daughter Ann was alive on 17 June, 1697 and named Atkins and apparently Elizabeth had deceased or was not named in the will for some reason.
Land Records of Sussex County Delaware 1681-1725, Brewer, Mary Marshall, Willow Bend Books and Family Line Publications, Westminister, MD, 1998, 1999, pg.77: Rodger Corbett acknowledged in a Court held at Lewes for Sussex Co., on 7 May, 1706 the sale of 300 acres of land on the South side of Loves Creek and Branch in Angola Neck, to WOODMAN STOCKLEY and WILLIAM ATKINS, jointly and severally and dated 7 May, 1706 (Sussex Co., DE Deed Book A, pg. 94).
NOTE: Woodman Stockley and William Atkins were brother-in-laws.
Worcester County Wills Will Book MH3 1666-1742, Skinner, Jr., V. L. Family Line Publications, Westminister, MD, 1988, pg. 11 andcorrected in A Closer Look At Worcester County Will, Heise, David V., Family Line Publications, Westminister, MD, 1991, pg. 5: WOODMAN STOCKLEY in his will dated 22 May, 1710, gives to his eldest son, Woodman, “Bradford Hall”, my plantation in Sussex County (Worcester Co., MD Will Book MH3 1666-1742, f. 112).
Wills and Administrations of Accomack County, Virginia 1663-1800, Nottingham, Stratton, Heritage Books, Inc., Bowie, MD, 1990, pg. 68: HENRY TOWLES whose will was written on 17 January, 1720/21 makes no reference to a wife. (Accomack Co., VA Wills, Deeds & ect. 1715-1729, pg. 346)
Land Records of Sussex County, Delaware 1722-1731: Deed Book F No. 6, Malone, Johnita P., Heritage Books, Inc., Bowie, MD, 1997, pg. 1: WILLIAM ATKINS had deceased prior to 1 August, 1722 when John Atkins, son of William Atkins deceased, yeoman, of Sussex Co. sold 138 acres for 5 shillings, lands in Angola Neck that is part of a larger tract that William Atkins died possessed of that was bounded by lands of “Woodman Stockley, Love’s Creek, land of Isaac Atkins, the Mill Land and a road”, to his brother William Atkins, yeoman, of Sussex Co., DE (Sussex Co., DE Deed Book F, pg. 4).
There are several deeds of the family making transactions of lands of their father William.