Ok, caliber =diameter of the barrel- most times

So if you hear of a .303 lee enfield-it means a rifle chambered for the proprietary 303 cartridge.
The confusion arose aprtly when wildcatters(term used for experimental gunsmiths and shooters) decide to retain the bullet/barrel diameter but boosted up the case dimensions to increase the powder charge and the range etc.
One example of this is the 44 special and 44 magnum
similarly, the 38spl and the 357 magnum which has a case longer than the 38 special. So a 38 spl can be fired in a 357 mag, but NOT vice versa.Ditto 44 spl and 44 mag
The European manufactures also muddied up the water a fair bit by designing and naming their cartridges in metric , but with different case shape/ contours so a 8mm ABC wont fit in a 8mm XYZ and the PR types went hoarse shouting at the marginal gain in velocity and muzzle energy of 'their' 8mm Vs the oppositions 8mm.A whole lot of marketing hype...End result, trying to find an exact caliber of an 'Obsolete ' caliber / rifle in India/ subcontinent needs long extinct gunsmith skills to do a chamber casting etc.

One more bit to the jigsaw
the measurements we hear often- again I quote the example of the 303 Enfield/British- .303 is the dia of the muzzle-NOT the bullet.The bullet is actually BIGGER and the dia is 0.311 inch.If the barrel and bullet dia had been the same, the bullet would slide out..When its marginally tighter( as determined by gigabytes of testing by ballisticains!) the bullet forms a sort of a gas seal
( obturation) by the burning propellant gases when is fired, and 'engages in the grooves', starts spinning -either CW or CCW -which ever way the grooves are cut, and it is all this which contribute to range/ velocity/muzzle energy
Now that you are partly confused, google around a bit and come back in time for the 3rd instalment...
best
Axx