Couple of things wrong with your scenario. Guns would not have been shipped to a dead soldiers home. They would be reissued. Early in the war a soldier would have been buried in his uniform unless he died in a hospital and somebody actually came to claim the body(highly unlikely). Later in the war any usable equipment or clothing would be distributed among the living. Now some privates were issued revolvers at the outset of the war and some of them did ship those guns home. Others simply discarded them to lessen their load along with anything else they were issued and didn't feel like they needed.
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