I am not sure about the number of vets buried there. The microfilm listed below is, or was before Katrina, on file at the New Orleans Public Library.
Cypress Grove and Greenwood Cemeteries, 1849-1970
Cypress Grove Cemetery No. 1 was founded in 1840 by the Firemenís Charitable and Benevolent Association, initially as a burial place for firemen. A second section of Cypress Grove was later added but closed in 1920. This organization also founded Greenwood Cemetery in 1852. The records include interments for both Cypress Grove and Greenwood cemeteries, acts of conveyance, lot cards, and a title book (Cypress Grove only). Also included in this series is a Widows and Orphanage Roll Book for the Firemenís Charitable and Benevolent Association (1890-1960). mf GS36-132 to 158
Hope this helps you out, and let me know if I can be of any assistance.