Historical notes providing evidence of parentage are included in the notes
From the Alice Gedge pedigree on AWT:
(1) "Genealogical Notes, or Contributions to the Family History of Some of the First Settlers of Connecticut and Massachusetts," by Nathaniel Goodwin (Hartford, CT, 1856) p.310,322.(2) "The Great Migration Begins - Immigrants to New England 1620-1633," by Robert Charles Anderson (NEHGS, Boston, MA, 1995) 3:1724. Cites: (a) "The American Genealogist," 37:7-9. (b) "History and Generalogy of the Families of Old Fairfield," comp. & ed. Donald Lines Jacobus (Fairfield, CT, 1930; rpt. 1976. 1991) 1:348.(3) "A Digest of the Early Connecticut Probate Records," comp. by Charles William Manwaring, Hartford District (Hartford, 1904) Vol. 1, p.37 (p.36 missing from text),251-253. Cites: (a) Land Records, Vol. II. Birth: (1,3a) d/o William Spencer/Agnes. (2) "Say" 1633, d/o William Spencer/Agnes Harris. (3a) Under age 18 on 14 Mar 1650 (b. after 1632).Marriage to William WELLMAN: (1) 1649. (2a) By about 1650. (3a) Called Elizabeth Spencer on 14 Mar 1650.Marriage to Jacob JOY: (1,2a) 23 May 1672. (2a) Killingworth, CT. (2) The Killingworth Vital Records do not contain an entry for this marriage. (2b) 23 May 1671. (NOTE: This would be before her first husband's death.) (3) As Elizabeth JOYE, paid debts on the estate of William WELLMAN her husband.(3a) 1650, 14 Mar: John TALLYCOTT of Hartford, upon Connecticut River, bound himself to pay to Sara SPENCER and Elizabeth SPENCER 10 pounds when they shall be of full age of 18 years. If either of the children die before the time that they are of age, then the survivor shall receive it at the time when it should have been paid to the deceased if she had lived, and if they both die before the said time, then it shall be paid to Agnes EDWARDS or her lawful attorney, the mother of the said children. Wits. Richard LORD, John STEELE.