T-Bone’s struck the nail squarely.
Part of the problem is some of these calibers have been in existence for a century or more, and some have their roots encompassing three, maybe four generations of technology (flintlock, cap-and-ball, metallic blackpowder, metallic smokeless, etc.)
The .44-40, for example, was a .44 cal case that held 40 grains of blackpowder. Same with the .45-70 and the .50-70, but the .30-'06 of a couple generations later is entirely different. It’s a .30 (actually .308") caliber adopted by the Military in 1906.
In simplest terms, Toony, “magnum” was a derivation, as noted above, of a lengthened version of a previously-existent cartridge.
The .38 S&W (technically the .38 Short) was lengthened to hold more powder, and called the .38 Special. The Special was lengthened again to hold yet more powder, and thus dubbed the “Magnum”.
The .357 Magnum- the first cartridge so named- proved to be such a popular round, that the monicker “magnum” became an instant marketing gimmick- the .44 was stretched and became the .44 Magnum. The .22 Long Rifle (itself stretched from the Long, which came from the .22 short) was lengthened and immediately dubbed the .22 Magnum.
After that, everything became a “magnum”. The .41 (which had few, if any, antecedents) for example, and in the past 20 years or so, we’ve seen .45 Winchester Magnum (a stretched .45 ACP) any number of rifle cartridges were relabeled Magnums, and there have been a whole passel of rounds that didn’t quite make it, such as the .451 Detonics Magnum (another souped-up .45 ACP) the 9mm Winchester Magnum (the .45 WinMag necked down to take .355" bullets) and so forth, ad nauseum.
So in the beginning, when it was first used, it technically meant a cartridge that had been stretched out for additional power, from a previously-extant round.
Now, of course, it’s just marketing buzz.