Linda --

If you plan to visit, I don't know the nearest airport in New York City, but your travel agent can provide that information. Here's the National Cemetery link for Cyress Hills --

http://www.cem.va.gov/CEM/cems/nchp/cypresshills.asp

Please understand that burial of Confederate soldiers in a national cemetery is unusual and limited to special circumstances, such as prisoner-of-war burials on ground that later became part of a national cemetery. In any case, they will always be found in a segregated plot.