Jhon: First, welcome to THR!
All comments above are correct. Additionally, when you load a .375 or .380 ball into that slightly oversized chamber, the chamber mouth is actually shaving off a ring of lead in the process. The chamber is sizing the ball, and at the same time creating more surface area, for a better purchase on the barrel rifling. This is one reason why soft lead is used in the cap & ball revolvers, as opposed to the harder alloys used in more modern guns.
Caliber designations can drive you nuts until you've simply memorized a whole bunch of data, as there is no hard and fast rule-- only general ones.
Better to err on the large side for a BP revolver ball. An undersized ball, so goes the common wisdon, can lead to a "chain fire" or to erratic velocity or poor stabilization.
Aside: In naval ship guns, "caliber" refers to the length of the barrel in bore diameters. An 5 inch, 50 caliber gun has a 5" diameter bore and a length of 5 x 50, or 250 inches.