Marcia:
You will not find a published cadastral map that early for New Egypt. However, Reed’s obituary suggests he resided in his own home at the time of his death:
“At his residence near New Egypt, on May 4, 1821, in the 70th year of his age, Henry Reed. He served his country as a soldier in the Revolutionary war, nearly 5 years. At the conclusion thereof, he came and settled among us, was universally esteened, as being an honest and industrious man.”
I can suggest several paths you can take to gain more information:
1. Pursue the Rev War pension records at the National Archives in Philadelphia
2. Visit the New Jersey State Archives and review the material they hold regarding Rev War soldiers from New Jersey
3. While at the State Archives, use the microfilm collection for Monmouth County and Burlington County to obtain references to deeds related to Henry Reed and copy the appropriate deeds
4. Expand your cemetery search to other cemeteries in both New Jersey and Pennsylvania. Since he settled near New Egypt after the war, ascertain where he came from and check for his burial there.
Best regards,
Jerseyman