The U. S. National Archives, Washington, D. C., in Record Group 109, contain numerous records for Howard Groves Hospital, Richmond, Va.. I do not see lists of deaths, but cause of death may be recorded in their Registers of Patients which do not usually contain very specific information other than dates arriving, departing and ailments. Also, they are not reader friendly to the reviewer.

See: The Confederacy, A Guide to the Archives of the Government of the Confederate States of America, Henry Putney Beers, National Archives and Records Administration, Washington, DC
……

Anderson Quinn, Private, Company K, 48th Regiment Alabama infantry

Wounded, slight in arm, June 5, 1864

Admitted Receiving and Wayside Hospital, General Hospital No. 9, Richmond, Va.
June 5, 1864

Transferred to General Hospital, Howard’s Grove, Richmond, Va. June 6, 1864
Patient at General Hospital, Howard’s Grove, 1st Division, June 6, 1864

Died at General Hospital, Howard’s Grove July 6/7, 1864

Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Alabama

……..

An undated Richmond City Directory from the Civil War years asserts that Alabama soldiers were assigned to the First Division of Howard's Grove, and Mississippi soldiers to the Second Division.
http://www.mdgorman.com/Hospitals/howards_grove_hospital.htm