I have quite a bit on Nancy Cook and family, but I don't see that it ties to your Henry Cook. Here's the brief version:
Nancy Cook-b Sept 23 1789-d Dec 31 1830
Parents: Jacob Cook b 1769-d Oct 23 1830, Celia Horn b about 1765, d Mar29 1829
Siblings: John F. Cook b about 1787, Charity Cook b about 1791, Celah (Selah) Cook b about 1793, William Cook b about 1795, Henry V. Cook b about 1797.
Nancy and siblings all born in Wayne County NC
I have Jacob's parents and then the Cook side back to Phillip Cooke b Dec 27 1589 in Bristol, England if you want any of that. It's been so long that I've looked at this I'm not sure where I got it all - I know that Nancy Cook and her parents/siblings came from my grandmother's (Bardin) records, and my aunt Lorraine's (Bardin) research. Both of these relatives have since long passed away.
Let me know if I can help further.