I've been looking into him - his story is interesting:
There are several references to his death ""...Col. Joseph Parker, had perished, with his whole command, in a terrible battle with the Oneidas."". A few problems with this. Joseph was a Lieutenant; a Captain at his death, The Oneida were an Indian nation from New York - not exactly neighbours, there is no other reference to such a battle, aside from repetition almost word for word of the event in multiple sources, and no reference to an Indian war at about the time of his death. Furthermore, why would his body be buried in Chelmsford if he had died along with everyone else in a battle elsewhere?
Joseph's commission and Snowshoe company came about in 1724, during Dummer's war. The reference may be to "Lovewell's Fight" a battle with the Abenaki during Dummer's war (May 8 1725), in which about 16 militiamen died. However, neither Joseph nor any of his command were at that fight. A week after the fight Col Tyng requested reinforcements from Capt Richardsons company (in which Lt Joseph served). There is also a new Lt John Spalding of this same snow-shoe company. I'm still looking into this, but would welcome other eyes.
I've been looking at the 40 men in the snowshoe company, I can find probable, peaceful deaths in MVR for 29 of them, 7 of them with some certainty.