I learned today that J. Edgar Hoover is buried in Congressional Cemetery. My grandfather worked for him as a fingerprint analyst. The oldest cemetery in Washington, DC started in 1775 -- That's Rock Creek Cemetery. And Hellen Keller and Anne Sullivan, her teacher, are buried in the National Cathedral.
Here's some info on Cemeteries in DC to visit:
http://theusgenweb.org/dcgenweb/records/cemetery.shtml