You may be able to glean some additional information from the complete CMSRs, but my summary info does provide most of the "vital" statistical information. Unfortunately, you will not find in most cases parent's names referenced within these records, nor place of burial unless he was a prisoner and died in Federal custody. What I would suggest is checking any 1860 Tippah County census records to see if either or both men were recorded in that census and try tracing the census back as far as possible. Since both men were apparently born in Georgia, you will probably need to go back to Georgia records to locate information on their parents.
With respect to place of burial, I would imagine it took place near the place of death, unless relatives came and removed the bodies back to Mississippi (rare, but happened in a few instances). The Hollywood cemetery in Richmond holds large numbers of Confederate dead although of course many others are scattered throughout the area. If either is buried there, there may be information detailing the location in the cemetery database.
Good luck in your continuing research.