Daniel, after finding the above link, I went ahead and detached her from the older William Cornell. I then found the following:
In The American Genealogist, volume 13 (1936):33-34:
Cornwell, William Jr. m 30 Nov 1670 Mary Bulle; he d. 18 Jun 1691; she d. 25 Nov 1717. Children:
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William b 13 Sep 1671 (d 16 Jul 1747; m 22 Jan 1691/2 Easter Ward (d 13 Jul 1734 in 66th year)
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Jacob b 3 Oct 1673
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Experience, dau, b 14 Apr 1682 (note the 9-year gap; King Philip's War happened in between)
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Ebenezer b 13 Jan 1688/9; d Mar 1694/5
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Eliazar b 1 Feb 1691/2; d 25 Oct 1692
I have not yet looked to see if there is a profile page for William Cornell Jr. (son of the immigrant). I'll leave that to you, since this is really not my line and I should stay focused on Thomas Cornell of Rhode Island (who is).