The .30-30 was actually an early smokeless round, touted for its "high-speed, flat shooting" properties. It may be that it used 30 grains of powder, but which powder I don't know. 30 grains of FFFg powder would be a pretty light load.
Yes, the early cartridge designations were reloading recipes, essentially (.32-20, .25-20, .44-40, etc.). The .45-70-400, was a .45 caliber, 70 grains black powder with a bullet weight of 400 grains. Some included case lengths as well.
Many names of cartridges are not true in any literal sense. The .38 Special is actually the same diameter barrel as the .357 Magnum rounds and .36 caliber blackpowder guns. The .454 Cassull is the same bore as the .45 Colt, which usually uses a .452 bullet.
Some used the land diameter; others used the groove diameter. Some picked a number for the way it sounded, not for any actual measurement of the case.