FONES

There is a traditional ancestral line, for which I have seen no evidence:  (NEHGR 18:185 ?)

William Fownes (c.1400) of Saxby, Worchester, married a daughter of Sir Robert Hyelton

George Fownes (c.1435) married a daughter of Malbanck, Baron of Malpas, Chester

William Fownes (c.1470) married Miss Telham of Telham, Sussex

John Fones (c.1494) married Miss Bradley, of Saxby, Devon

John Fones (c.1520) married Miss Lewell, of Dedford, Worcester, and had sons Robert, John, Thomas, Humphrey, Nicholas, and William.  Both sons John (b.1554) and Thomas (b.1556) are shown as the father of Thomas Fones (1573-1629)

Another suggestion starts with:
William Fones (c.1550) lived at Bromsgrove, Worcestershire, as the father of:

Thomas Fones (24 Mar 1572/3-15 Apr 1629) m.25 Feb 1605 at St Peters, London, to Anne Winthrop (16 Jan 1585/6-16 May 1618); m(2) Priscilla Burgess, widow Shearman.   He was born at Dedford in Bromsgrove, Worcestershire, apprenticed 1595 to a grocer in London, and was made a freeman of the Company of Grocers in 1602, but became an apothecary.  He lived at the sign of the Three Fawns in Old Bailey, London.
. 1. Dorothy Fones (24 Oct 1608-24 Dec 1608)
. 2. John Fones
. 3. Elizabeth Fones (21 Jan 1609/10-1673) m.25 Apr 1629 Henry Winthrop, see below
. 4. Martha Fones (1611-1634) m.8 Feb 1631 John Winthrop (1606-1676) governor of Connecticut
. 5. Anne Fones
. 6. Samuel Fones (1616) married Mary Dunkon
. 7. Mary Fones
. 8. Priscilla Fones (died before 1628)

Elizabeth Fones (21 Jan 1609/10-after1655) born at the Winthrop manor at Groton, Suffolk, married 25 Apr 1629 Henry Winthrop (10 Jan 1607/8-3 Jul 1630) son of John Winthrop and Mary Forth, who drowned trying to swim ashore from his ship the Talbot when it first landed in Salem.  Elizabeth followed in the Lyon on 2 Nov 1631.  She married 2 Dec 1631 Robert Feake (20 Sep 1602-1 Feb 1661/2) goldsmith, and lived at Watertown.  Robert and Capt. Daniel Patrick purchased the site of Greenwich, CT, in 1640, accepting Dutch rule over that colony 9 Apr 1642, Elizabeth signing for her husband, who was ill.  Feake became mentally unstable, abandoned her and returned to England in 1647.  The Governor of New Netherland granted her a divorce, and she married in New Amsterdam in May, 1647, William Hallett (1616-1710). When Greenwich was ceded to New Haven Colony in 1650, the English refused to recognize her divorce, and they moved to Flushing, Long Island, which was still under Dutch control.  Their house near Hellgate was burned by Indians in September, 1655, and the last record of her was her purchase of a house from Edward Griffin in October 1655, though some report she died in 1668, or 1673.  Elizabeth was the basis for the Anya Seton novel, The Winthrop Woman.  Robert Feake returned to Watertown, Massachusetts, in 1650, and was supported by the town until his death.
. 1. Martha Johanna Winthrop (1630-1653) m.Jun 1647 Thomas Lyon of Stamford, CT
. 2. Elizabeth "Lisbet" Feake (1633-Nov 1675) m.1658 Capt. John Underhill (1609-1672)
. 3. Hannah Feake (Jun 1637-31 Jan 1676/7) m.7 May 1656 John Bowne (1627-1695), Flushing
. 4. John Feake (Dec 1638-30 Aug 1724) m.15 Sep 1673 Elizabeth Pryer (1656-1702), Oyster Bay
. 5. Robert Feake (bapt.17 Jul 1642-1669) married Sarah and lived in Flushing
. 6. Sarah Feake (bapt.14 Apr 1647-before 21 Jul 1648)
. 7. William Hallett (Oct 1648-18 Aug 1729) m.1 Dec 1669 Sarah Woolsey, Newton, LI
. 8. Samuel Hallett (1651-27 Dec 1724) m.1676 Bridget Blackwell, Newton, LI
. 9. Elizabeth Hallett (31 Aug 1652) not listed by all sources.

Elizabeth Feake (1633-Nov 1675) married, late in 1658, Captain John Underhill (c.1609-21 Sep 1672)  They were married in Flushing, NY, and lived at the Underhill estate, "Killingworth," Oyster Bay, Long Island.  They attended the Quaker Church at Flushing.
. 1. Deborah Underhill (29 Nov 1659-1698) m. c1676 Henry Townsend (c1649-1718)
. 2. Nathaniel Underhill (22 Feb 1663/4-1710) m. Mar 1685/6 Mary Ferris
. 3. Hannah Underhill (2 Dec 1666-1757) m.1685 Richard Alsop (1660-1718)
. 4. Elizabeth Underhill (2 May 1669-aft.1747) m.1689 Isaac Smith (1657-1747)
. 5. David Underhill (Apr 1673-1708) m(1) unknown, m(2) Hannah

Elizabeth Underhill (2 May 1669-after 1747) married about 1689 Isaac Smith (1657-1747) son of Abraham Smith. They lived on the east side of Hempstead Plains. She is supposed to have married (2) Joshua Smith.  They attended the Quaker Church at Flushing until 1702, when he converted to the Church of England under the preaching of Rev. George Keith, who stayed at his house 21 Nov 1703.  
. 1. Jacob Smith (1690-1757) married Freelove Jones
. 2. Micah Smith (1704- May 1747) married 7 May 1725 Phebe Thorne

Margaret Edwards (1789-1864) m.1821 Thomas Tate (1775-1838)

Thomas Edwards Tate (1821-1914) m.1845 Mary Vernon Cutrer (1825-1892)

Frances Mary Tate (1852-1881) m.1871 Walter Edwin Tynes (1848-1928)

Jeanne Marie Tynes (1878-1958) m.1913 Carson B Matthews (1874-1948)

Frances Mary Tate Matthews (1917) m.1949 Virgil Raymond Liptrap (1907-1977)

James Matthews Liptrap (1951)