I suspect he would have been buried in the Oakwood Cemetery which is closer to the hospital than Hollywood. I do not find him in the list of Hollywood burials, http://www.interment.net/data/us/va/richmondcity/hollywood/index.htm. I've lost track of the Oakwood burial contact.
Both cemeteries contain a large number of unknowns.
Sovereign W. J. Ellis, Orderly (1st) Sergeant, Company L, 6th Alabama Infantry, admitted March 26, 1862 to General Hospital # 18 (formerly Greaner's Hospital), Richmond, Virginia with Chronic Rheumatism, died April 29, 1862
Information about General Hospital #18 in Richmond, VA during the Civil War.
Also called: Greaner’s Hospital, Greanor’s Factory Hospital. Formerly tobacco factory of John H. Greaner (not to be confused with his father William’s factory at 19th and Cary Streets). Built in 1853. John H. Greaner was long a member of the Richmond City Council and a distinguished soldier in the Confederate army. Although the name was legally spelled Greaner, the family often used Greanor. Opened in Spring 1861. On 25 September 1861 it listed 260 patients. Turned into Confederate shoe factory 2 June 1864 with 300 employees. Location: eastside of 22nd Street, between Main and Franklin Streets at 9 North 22nd Street. (from Confederate Military Hospitals in Richmond by Robert W. Wait, Jr., Official Publication #22 Richmond Civil War Centennial committee, Richmond, Virginia 1964.)