Unless the soldier is a prisoner-of-war, burial information never appears in a Confederate service file.
Since Lorenzo J. Temple of the same company was also sent to a hospital during the same period, in my opinion odds are pretty fair that that both went to Lauderdale Springs MS.
A review of all records of this regiment for the period cited should identify all men recorded as "sick in hospital". If you can identify hospital location(s), you will then have a short list of possible burial sites. If all were sent to Lauderdale Springs MS, it becomes quite likely that Temples was sent there, too. If not, you probably will have only to or three other places to check.
Having said that, please consider that family and friends living within a reasonable distance of a hospital on the M&O rail line may have retrieved Temples' remains and brought them home. In the years following the war most Southern families didn't have the means to afford a permanent marker, but an unmarked grave could still exist in a cemetery near his home.