Steve, I have been waiting for someone to answer your questions. My gg-grandfather served in Co. B, same regiment and was in the same places, same battles, etc. In October of 1862, the 50th TN was still re-organizing and to my knowledge, did not engage in any combat again prior to December 1862. It is more likely that your Pawpaw died from an accident or illness. In any event, he was surely given a Christian burial with a wood marker, a stone...or someone may have planted a cedar tree by his grave if he was buried in a cemetery.

I wish you luck in finding better answers. Matthew P. Hall endured a lot of tribulation in his time of service. RIP