The Adjutant General inventoried them as musketoons or artillery musketoons. I have seen them called carbines as well. It is possible that they were musketoons obtained for use by artillery companies and not truly artillery musketoons.
The most common use for the musketoons were the artillery companies.
The Scott Guard (Detroit, Wayne County) was given the honor of being Company A of the 2nd Michigan Infantry Regiment. The Scott Guard received 'new' Minnie riles from the state in early 1861. The Michigan Quartermaster Report of 1861 has Company A with 60 musket rifles, 24 musketoons, 10 noncommissioned officer swords, 96 sabers and a pair of six-pound brass cannon. The Quartermaster indicates Company B had 37 sabers, but some of the equipment listed for Company A was likely for this small artillery company and the cannons and musketoons would most likely be for them.
The Williams' German Light Artillery, a.k.a. the German Company (Lansing, Ingham County) formed in 1859; they ranked in Class III of the Michigan Uniformed Militia. They were named for Colonel A.S. Williams who later became the commander of the 4th Michigan Volunteer Infantry Regiment. Captain Jacob Weber took twenty men to the 1860 Michigan Uniformed Militia encampment being held in Jackson. In 1860, they had 1 six-pound brass cannon with caisson. Their pre-war weapons were side arms and musquetoons. The Michigan Quartermaster's Report of 1861 has them with 20 musketoons, 6 revolvers, 20 sabers and 1 six-pound brass cannon with carriage and limber complete.
The Coldwater Light Artillery a.k.a. The Coldwater Flying Artillery a.k.a. Loomis' Battery, a.k.a. First Michigan Battery a.k.a. Battery A, 1st Michigan Light Artillery (Coldwater, Branch County) was the artillery company attached to the 1st Michigan Three Month Volunteer Infantry Regiment.In 1859, they were armed with musketoons and 1 six-pound brass cannon with carriage and limber, one caisson complete, and four harnesses with leads and wheel sets. In 1859 they ranked in Class I of the Michigan Uniformed Militia order of merit. In 1861, they had 20 musketoons, 8 revolvers, 20 cavalry sabers, 20 artillery swords and 1 six-pound brass cannon. The State military board minutes from 1859 indicate they wore blue uniforms and carried carbines, so perhaps their musketoons had been replaced with carbines by time of the State Military Board's October meeting.
The Hudson Artillery a.k.a. Hudson Military Company (Hudson, Lenawee County) as infantry, became Company C of the 2nd Michigan Volunteer Infantry Regiment. In 1859, they carried rifled muskets, had 1 six-pound brass cannon with carriage, and limber complete, and 1 caisson complete. In 1861, they had 40 musketoons, 40 sabers, 8 noncommissioned officer's swords and 1 six-pound brass cannon.
These are not artillery companies. Note the State issued cannons to some infantry companies to disperse the cannons. Michigan in the 1850s only had one mounted company I I do not have good information on what arms they were issued
The Steuben Guard (Ann Arbor, Washtenaw County)In 1861, they had 40 rifle muskets, 8 musketoons, 8 noncommissioned officer's swords and 8 musician swords
The First United States Lancers a.k.a. Rankin's Lancers a.k.a. Michigan Lancers (the headquarters was in Detroit but the companies formed in several cities)The Detroit Daily Advertiser indicates they were to be armed like the 16th Regiment of British Lancers however; originally, they were issued 7 state owned smooth-bore muskets and 12 state owned musketoons. They eventually were armed with lances, carbines, dragoon revolvers and sabers. Samuel Shaw made both the lances and swords. In other source, Samuel Shaw is referred to as W. H Shaw. The lances provided by Shaw were nine feet, seven inches long with eleven inches of that being a double bladed lance head, which was one and a half inches wide at the widest point. The pennons were red and white. When the First United States Lancers were disbanded, the state collected the lances and stored then for further use.
TheGerman Rifles a.k.a. Grand Rapids Rifles a.k.a. German Military Company (Grand Rapids, Kent County In 1859, they had rifled muskets and 1 six-pound brass cannon. In 1861, they had 40 rifle muskets and 1 six-pound brass cannon. The German Rifles were also said to have carried musketoons.
The Peninsular Guard (Sturgis, St. Joseph County) served during the Civil War in the 4th Michigan Volunteer Infantry Regiment. Before the war they had 40 musketoons with accruements and 4 noncommissioned officer's swords.