Hello Dianne;
I looked in the NSDAR Patriot Index and is this your ancestor? Its pretty close to your query.

SMITH, William
Birth: VA 17 Feb 1762
Service: NC
Rank: Capt
Death: TN 1840
Patriot Pensioned: Yes Widow Pensioned: No
Children Pensioned: No Heirs Pensioned: No
Spouse: (1) Phebe Cox

You didn't mention a spouse, hope this is it. If this patriot isnt yours, that doesnt mean he didnt fight, it means that no one has joined the NSDAR Membership using his lineage.

But if it is 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.