Well, the spouse name helped greatly, because we found your Robert in the DAR Patriot Index and information is as follows:
Robert Moseley b 1752 VA d p 6-7-1821 KY m Mrs. Sarah Peak. Service was Lt PA PNSR (soldier pensioned).
A copy of the application has more information about your Robert and you may request this copy from DAR National Headquarters. Please make a check in the amount of $5 payable to the Treasurer General. Mail the check along with the informtion on your patriot to Record's Copy Dept., Treasurer General NSDAR, Administration Bldg., 1776 D St NW, Washington, DC 20006-5392. It takes about 6-8 weeks to receive this as this office is very busy.
Are you interested in DAR membership? If you are a lineal descendant of the patriot you would be eligable. Let me know if you would like to be contacted by a chapter near you.