This person
does not seem to have been the daughter of.
Catherine did have a daughter Elizabeth with Edward Carey, MP
She is:
Elizabeth Cary was the daughter of Sir Edward Cary and Katherine Knyvett.1 She married John Savile, 1st Baron Savile of Pomfret, son of Sir Robert Savile and Anne Hussey, on 20 November 1586.1
From 20 November 1586, her married name became Savile.
Child of Elizabeth Cary and John Savile, 1st Baron Savile of Pomfret
Thomas Savile, 1st Earl of Sussex+2 b. 14 Sep 1590, d. c 1659
Citations
[S37] BP2003 volume 1, page 1382. See link for full details for this source. Hereinafter cited as. [S37]
[S15] George Edward Cokayne, editor, The Complete Baronetage, 5 volumes (no date (c. 1900); reprint, Gloucester, U.K.: Alan Sutton Publishing, 1983), volume II, page 196. Hereinafter cited as The Complete Baronetage.
Additional spurious child here of Elizabeth Carey is:
There is nothing to suggest she was her child.
Also, I think we should review the other children of John, 1st Baron Savile of Pontefract as it seems the only one he shared eith Elizabeth Carey was Sir Thomas Savile, 1st Earl of Sussex
Others may be children with Catherine Willoughby.
Thank you!