The book, Grapping With Death, specifically covers the Union Second Corps hospitals.
In addition, Greg Coco's booklet, Gettysburg's Confederate Dead, identifies quite a few Confederates who died in Second Corps hospitals. Coco's A Vast Sea of Misery provides information on field hospitals in the area, including the Second Corps.
Another approach would be to identify Confederate units who fought opposite the Union Second Corps, for instance, the Pickett-Pettigrew-Trimble charge on July 3. Wounded Confederate prisoners who fell into their hands would be more than likely sent to Second Corps hospitals and could be checked against existing service records (Fold3).
The Jacob Scwartz farm served as a Union Second Corps hospital. One Georgian there was Sgt. James A. Lindsey, I/3 GA, who died on July 24. His Georgia brigade, Wright's, was repulsed by the Union Second Corps on Cemetery Ridge on July 2.
The mention of McAllister's Mill is interesting. Actually some wounded from the Union Eleventh Corps were there, and it was clearly a field hospital of the Union Twelfth Corps - Assistant Surgeon Jacob S. Bender of the 29th Pennsylvania was posted there. There were only a few Georgians in front of the Twelfth Corps on Culp's Hill, but the Eleventh Corps fought Georgians in brigades led by Gordon and Doles, however, the latter two brigades held the field and yielded up few, if any, wounded to the Eleventh Corps. Elements of the Second Corps opposed Georgians from the brigades of G. T. Anderson, Semmes and Wofford on July 2. So the possibilities are rather broad, but if I had to guess the most likely candidate, it would be a soldier from Wright's brigade, because he left quite a lot of wounded behind in his evening attack on July 2 who might have ended up in Second Corps hospitals.