"The English Origin of Sergeant Francis Nichols of Stratford, Connecticut," an article in the October 2000 edition of "The American Genealogist" [Vol. 75, No. 4, p. 267-271], concludes that the Sergeant was was born 1575 in Sedgeberrow, Worcestershire, ENG, son of John and Joan (?) Nichols (aka Nycholls, Nicolls) and grandson of Thomas and Elinor (?) Nycholls of Sedgeberrow. The article's author, Neil D. Thompson, a professional genealogist specializing in the English ancestry of American colonists, cites various parish registers, original wills and court proceedings to reconstruct the Sedgeberrow family (briefly as follows):
Generation No. 1. -- Thomas1 Nycholls of Sedgeberrow, b. abt. 1510; d. bet. 1558 - 1559; m. Elinor (?) abt. 1535. Elinor Nichols, widow, buried 08 Jun 1592 in Sedgeberrow. Their children: Julian, Margery, William, *John, Henry and Nicholas.
Generation No. 2 -- John Nichols, b. abt. 1542; d. bef. 06 Aug 1597; m. Joan (?). She bur. 29 Nov 1627. Their children (with baptismal and burial dates found Sedgeberrow parish registers, LDS film #0905307): *Francis, 25 May 1575; John, 3 May 1577; William, 03 Jan 1579/80; Goodith, 17 Mar 1581/82, bur. 27 Apr 1582; Henry, 13 Apr 1583; Elinor, 18 Aug 1586; Ann, 05 Sep 1590; and Elizabeth, 22 Sep 1592, bur. 19 May 1595.
Generation No. 3 -- Francis Nichols, bapt. 25 May 1575; m. Frances Wimarke 24 Jan 1599/00 in Sedgeberrow, Worcester, ENG. She was d/o Richard Wimarke and bapt. 02 Nov 1577, d/o Richard Wimarke. Children baptized and/or buried in Sedgeberrow: John, 16 May 1601; Jane, 03 Nov 1603; Henry, 19 Nov 1605, bur. 21 Dec 1606; Anne, 18 Oct 1606, bur. 25 Oct 1606; Margaret, 04 Jan 1608/09; Francis, 25 Aug 1611; Joseph (twin), 31 Aug 1614, bur. 2 Sep 1614; Jonathan (twin), 31 Aug 1614, bur. 4 Sep 1614; Sarah, 12 Nov 1615; Isaac Nichols, 27 Dec 1617 (not in article, but shown in parish register).
Isaac's baptism is the final mention of the family in Sedgeberrow. However, in linking the Sedgeberrow and Stratford families, Mr. Thompson does address the births of Caleb and Ann Nichols as well as the marriages of Francis Nichols' children. I suggest Nichols descendants read the entire TAG article and come to their own conclusions on the overall evidence.
FYI: Mr. Thompson, while not a Nichols descendant, has for many years worked with Barbara J. Nichols who authored an April 1993 TAG article proving Sgt. Francis Nichols of Stratford could not be the son of Francis Nicolls and Margaret Bruce ("Francis Nichols of Stratford, Connecticut, Was Not a Brother of Deputy Governor Richard Nicolls of New York.") Barb and I are descended from The Sergeant's son John.