You will find a Gauge to Caliber conversion chart under" Member Resources", on the Index page to this forum, under " Charts". That should give you an accurate knowledge about the bore diameter of the various gauge sizes you may encounter.
Then, go to Bob Spenser's Black Powder Notebook for articles on Traditional Shotguns. There is a very good one written by Spenser himself, and another very good article written by the late V.M. Starr.
http://home.insightbb.com/~bspen/
The original shotguns were Cylinder Bore, ie. no Choke. Jug choking came into being before muzzle choking, or back boring. The Short range of these early guns required different shooting styles, and hunting skills. Birds were shot " on the water", where you could efficiently kill several birds with each fired load of shot. Wing Shooting only became the "sport" of royalty, who could afford the powder and shot to practice, and used their skills to show off, much as fine archers shot birds out of the air with their arrows hundreds of years before. In the American Colonies, the populations were mainly the poor, and hunting was to supplement the diet of the families, assuming they had anything else. Few could afford to waste powder and shot shooting at birds flying in the air.
There is a reprint of the W.W. Greener Book available today, written back in the 1860s, I believe, that you might want to read to get more information on early shotguns.
I don't think there is any consensus on when Exactly someone first jug choked a barrel, nor when the first muzzle choked barrels were introduced.
This kind of thing was being explored all over Europe in the mid-19th Century, as well as here in the USA. Its quite possible that some of the early development goes back to the 18th century. There are early references to work in France, Italy, Spain and Portugal on this matter.
It was only when Commercial Production of choked barrels became possible, as the result of the industrial revolution, in the mid-19th Century, that anyone attempted to systematize the amount of choke required to achieve certain levels of patterns, and put names to the chokes.