The confusing (to the uninitiated) plethora of cartridge names and the relationship between those names and the actual measurements of the cartridge are the result of the un-regulated free market, particularly in the later 19th century.
Cartridges were designed by individuals, or gun company teams, or by government design boards, and named what ever the designer thought was either appropriate, or what was most marketable.
There was a huge rivalry between gun makers, and for many years, some companies would not chamber their guns in another company's cartridge. They would create their own cartridge instead, even ones with virtually identical performance.
Other gun makers would chamber their guns for everything they could.
The caliber designation in a cartridge name bears a relationship to the size of the hole in the barrel. But it is not necessarily a direct relationship. For instance, a .30 caliber rifle is going to have a .3" hole in the barrel. But it might be called a .30, or a .300, or a .308, or a 7.62mm, depending on which measurement is used.
European's favor their system, the British use another, the US today has a more or less standard in use, but its done by common agreement, not govermental regulations. Trade Marks, patents, copyrights, etc, of course all apply.
And when you get into late 19th and early 20th century handgun cartridges it can get really confusing. There are several (obsolete) rounds with either nearly identical names but different dimensions (like the .38 S&W and the .38 S&W Special) and rounds with identical dimensions, but called a Colt when loaded with one style of bullet and a S&W when loade with another style.
And there is more. Whole books have been written about cartridge names and histories. Cartridges of the World is usually considered a pretty good reference, but not infallible.