Interesting switch to the topic...
So looking through some period documents the term gun seems to used kind of here nor there.
I see firelock, rifle, musket, arms, guns, cannons, fowlers mentioned.
Virginia militia acts 1757 firelock, arms 1777 firelock, arms
March 1775
That every man be provided with a good rifle, if to be had, or otherwise with a common firelock, bayonet, and cartouch box, and also with a tomahawk, one pound of gunpowder, and four pounds of ball at least, fitted to the bore of his gun; that he be clothed in a hunting shirt, by way of uniform: and that all endeavour, as soon as possible, to become acquainted with the military exercise for infantry appointed to be used by his Majesty in the year 1764.
Pennsylvania 1700 in a law against Slaves holding arms mentions "guns and fowling pieces"
Virginia Gazette Oct 16 1775 These brave young Officers, at the head of their men, without the least cover or breast-work, on the open shore, stood a discharge of 4 pounders, and other cannon, from a large schooner commanded by Captain Squire himself, and from a sloop and two tenders, which played on them with all their guns, swivels, and muskets.