There is nothing in their records which indicates where they were wounded. I'd assume Capt. Norman also died in the same hospital, though, no records survived which authenticates this. I would believe it's just a coincidence they died the same day.

David Mullins, age 25, 2nd Sergeant, Company K, 41st Tennessee Infantry, enlisted November 26, 1861 at Camp Trousdale, Tenn., died of wounds received in battle, July 31, 1864 at Hoards Hospital, Forsyth, Georgia

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Captain James Y. Norman, Company K, 41st Tennesssee Infantry, enlisted November 26, 1861, age 29, promoted Captain March 23, 1864, died from wound July 31, 1861 at Forsyth, Georgia

M268: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Tennessee

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Forsyth City Cemetery, Forsyth, Monroe County, Georgia
The Confederate Cemetery, Forsyth, Georgia Project website reports that the 299 Confederate soldiers buried in Forsyth Confederate Cemetery were those being treated in Forsyth Confederate Hospital in 1864. Of these 180 are identified and 119 are not.
http://www.cemeteryworks.com/7txinf_burial.html