Hello D.;
I looked in the NSDAR Patriot Index and found the following information:

Uldrick or Ashbell Winegar not listed in the index.
Nathan Green(e) was not listed in the index. That doesnt mean they didnt fight, it means that no one has joined the NSDAR Membership using their lineage. But I did locate:

GREEN, Jabez
Birth: RI 19 Dec 1762
Service: NYRI
Rank: Pvt
Death: NY 19 Sep 1804
Patriot Pensioned: No Widow Pensioned: No
Children Pensioned: No Heirs Pensioned: No
Spouse: (1) Abigail Wilcox

Since someone has established membership in the NSDAR through him, you may obtain a copy of the DAR application by sending a check for $10.00 payable to Treasurer General NSDAR. Provide the patriot information and if you know the child of the Patriot through whom descent is claimed, provide that also. Mail the check along with the information to:

Record Copy Department
Registrar General NSDAR
Administration Building
1776 D Street NW
Washington, DC 20006-5303.

Requests for record copies may take six to eight weeks as they are very busy.

If you are interested in DAR membership, each chapter has members who will assist you in connecting to your Revolutionary Patriot. If you would like more information about joining DAR or finding a chapter in your area, please let me know.

Hope this helps and if we can help you again, please feel free to contact us.

Warmly,
Sara
DAR Volunteer Information Specialist
This is a free look-up service provided by DAR volunteers at the DAR message board.