There was the model 1841 six-pounder which you referred to. Are you saying that bronze gun cannot be classified as a Napoleon?
Not all bronze guns were Napoleons. A bronze 6-pounder smoothbore, a bronze rifled 6-pounder, bronze howitzers, and bronze rifles are never considered as Napoleons. All are very different.
The Napoleon was named for a nephew of Napoleon I, Prince Charles Louis Napoleon Bonaparte, who became Emperor Napoleon II of France. The Model 1853 "Napoleon" was designed to fire the spherical case shot or shell of howitzers, the solid round shot of guns or the canister of either. Its purpose was to combine the direct fire of a gun and the indirect (or lobbing arc) of the howitzer. But unlike a true howitzer it did not have a powder chamber in the bore. It was beyond doubt the most popular and versatile weapon of the war.
Though the Napoleon was designed as a bronze, smoothbore weapon weighing, on average, 1,200 pounds, there are a few variances in length and weight. The Ames Manufacturing Company cast five rifled Napoleons. They must not have been a success as no more were manufactured. The Phoenix Iron Company actually produced a single wrought iron Napoleon.
These six odd ones aside, ALL Federal Napoleons based on the 1853 specifications were 12-pounder bronze smoothbores.
The Confederates designed six types of Napoleon cannon, one of which never left the drawing board. All six have distinctly different qualities in their outward appearance though they are all 12 pounder smoothbores. The most prevalent type was a 12-pounder IRON gun that has more of the appearance of a Parrott Rifle than an 1853 Napoleon. Even still, it was a 12-pounder smoothbore.
Did I succeed in muddying the waters?
I would recommend
Field Artillery Weapons of the Civil War by Hazlett, Olmstead, and Parks.