the green tomahawk of the Rogers Rangers?

[kronckew]

That looks a lot like an American style naval boarding axe, with a typical ball ended haft. American boarding axes were unique in having notches in the blade to help snag ropes and cordage for towing when yards, sails, and masts were shot down. The spike was useful for piking, hooking into wood for dragging as well. Capable of being used as, but not preferred as a weapon.