She is probably Habiathia "Abiah" or "Habiah" TYES
"The New England Historical and Genealogical Register," v. 162, April 2008, p. 113, article: "Various English Wills Relating to New England Colonists: Gillett, Swaine, Cheney, and Tutty-Knight-Whitman," by Leslie Mahler:
"New Evidence in the English Ancestry of Jonathan Gillett and Nathan Gillett of Windsor, Connecticut.
The critical clue to the English ancestry of brothers Jonathan and Nathan Gillett of Windsor, Connecticut, was published a century ago by James H. Lea and John R. Hutchinson. They presented an abstract of the will of William Gillett, parson of Chaffcombe, Somerset, dated 1641, proved 16 April 1641, (1) which mentions 'land which my son Nathan made over to me by letter of Attorney,' as well as son Jeremiah and daughter Abiah (these two names were used by the Gillett family in Windsor). The will includes a statement regarding 'all my children in England,' implying that some children were overseas. A later article by George McCracken located a few more items relating to the Gillett family in England from bishops transcripts. (2) Work coordinated by Burton Spear in the 1990s located a marriage license dated 18 September 1609 for William Gillett, clerk and curate of Kingstone, Somerset, and 'Habiathia' Pye of Donyatt, Somerset. (3)
The will of Rev. William Tyes, dated 1 April 1623, proved 28 June 1623, (4) proves that Jonathan Gillett was a son of Rev. William Gillett (emphasis added):
'William Tyes by the p(ro)vidence of god pastor of the Church of Donniate w(i)thin the dioces of Bathe and Wells... give unto the Church of Donniate to be imployed in necessary uses about the same at the discretion of my executor within one yeare nexte after my decease ffortye shillings Item I give to the poore of the same p(ar)ishe whose names are menco(n)ed at the later end of this my last will and testament tenn pound Item I give to the poore people of the p(ar)ishe of Bromham in Wiltes where I was born ffoure pound Item I give to the poore of p(ar)ishe of Ilmi(n)ster ffortye shillings Item I give to the poore of Sainte James p(ar)ishe in Taunton but especiallye to them of Cannon Streate fforty shillings All w(hi)ch sev(er)all sumes I will to be distributed by my executor within one yeare nexte after my decease Item I give unto my wife Julian Tyes twenty pound and alsoe those two bonds by vertue where of there is ten pound yearely during her life five pound from my brother James Tyes in respecte of the Tenement that he enioyeth in Wiltes(hire) whereof I stand above fforty pound of the fyne and five pound from my kinsman Elias Tyes Clarke in Consideracon of a Tenem(en)t that I bought for him in Ileminster and payed the whole fyne Also I give unto my saied wife my househouldstuffe Item I give unto my brother John Tyes my best gowne and Cassoke and ten pound in money Item I give to his eldest sonn John in gold twenty two shillings Item I give my brother James Tyes his daughter Neiomey five pound Item I give unto my Cosin Elias Tyes twenty pound Item I give unto my Cozen Bancks her children tenn pound w(hi)che I will that John Tyes and Elias Tyes her brethren to be ymployed by them for their sister benefitt untill they shall come to the age of xxitie years Item whereas I have an estate for fowerscore and Nyneteene years determynable uppon the death of three lives as well in closes of meadow and pasture ground called Barrells scituate lyinge and beinge w(i)thin the p(ar)ishe of Rowd in the County of Wilte(shire) as alsoe the yearlye rents of these three sev(er)all Cottages or Tenements nowe in tennures or occupacons of Walter Clements John Barley als Okesey and Andrew Chandeler as by the Originall Lease therof made more plainely appeareth All w(hi)ch before recited p(re)mises and ev(er)ye of p(ar)te and p(ar)cell thereof I doe hereby give devise and bequeath unto Jonathan Gillet the sonne of Will(ia)m Gillett Clarke p(ar)son of Chafecombe in the Countie of Soms(e)t for and during all the tearme of the said ffowerscore and Nyneteen years that shalbe to come and unexpired after my decease upon Condicon the Mrs Elianor Willes widowe now resident and abidinge at my house in Donniate aforesaid shall have r(e)ceave take and gather to her p(ro)per use as well the rents p(ro)fitts and Commodities of the said two closes of meadowe and pasture as alsoe the yearly rents of the said three severall Cottages of Tenem(en)ts for the tearme and time of eighteene yeares to Commence & begin ymediately after my said decease yf she the said Elianor shall soe long live and noe longer otherwise Item I give to the siad Elianor Willes a quarter of good wheate to be paid an delive(red) unto her w(i)thin one quart of a yeare after my decease Item I give to my cosen Margaret Hawkins her Children ten pound to be imployed as before for her sisters children Item I give to Jonathan Gillett twenty pound and to the rest of my daugher in lawe Abia her chidlren twenty pound to be devided equallye amonge them Item I give to my Cosen Richard Hancocke and James Hancocke their children to be equally devided amonge them (interlined tenn pound) Item I give to Susan Dell my wives kinswoman ffive pound Item I give to the children of Andrew Dell Sarah Dwellye and of Ann Gollape beinge of my wives kindred tenn pound equallye to be devided amonge them Item I give unto Rose Pullen my wives sister her Children seaven pound to be equallie devided amonge them.'
The rest of his good and chattels unbequeathed were given to son-in-law William Gillett, who was named executor, with the legacies to be paid in one year. Cousins John and Elias Tyes were made overseers. William Tyes was rector of Donyatt since at least 1606, when he was listed in glebe terrier for that parish. (5) There is no record of him as a student of Cambridge or Oxford."
(1) Taunton Wills, 1641, File 13, originally published in 'The New York Genealogical and Biographical Record,' 41 (1910):282-83, reprinted in 'English Origins of Amerian Colonists From The New York Genealogical and Biographical Record' (Baltimore: Genealogical Publishing Co., 1991), 59-60. The Somerset wills were destroyed in World War II. There are good accounts of the Gillett brothers in Robert Charles Anderson, 'The Great Migration Begins: Immigrants to the New England, 1620-1633,' 3 volumes. (Boston: NEHGS, 1995), 2:766-770 (Jonathan Gillett), 770-72 (Nathan Gillett).
(2) George E. McCracken, 'New Gillett Information from England,' 'The American Genealogist' 55 (1979): 170-73.
(3) Somerset Record Office, D/DOI 18 (bondsman was Roger Gillett of Chillington), cited in Burton Spear, ed., 'Search for the Passengers of the Mary & John 1630,' 27 vols. (Toledo, Ohio: Mary & John Clearing House, 1985-99), 25:35-36 (this reference was pointed out by David Morehouse of Hopkins, Minnesota).
(4) Prerogative Court of Canterbury Wills, 56 Swann (FHL 0,092,092). The will calls Abiah daughter-in-law and her husband William Gillett son-in-law. A likely scenario is that Abiah was the step-daughter of William Tyes, daughter of his wife Julian by a previous marriage.
(5) The Donyatt terrier for 1606 was published in 'Notes & Queries for Somerset and Dorset' 8 (1899):63.