The original cartridge for the Model 1903 Springfield rifle was the Cartridge, Small Arms, calibre .30", Model of 1903. It used what we now would call a .270W casing (the .270 is a necked-down .30-'03) with the old 220-grain RNFB bullet which the Krag used.
It was based on a yet earlier cartridge which came out in 1901, also suited to a Mauser-type action.
The 220-grain RNFB bullet was dropped in 1906 and the FBFMJ pointed bullet weighing 150 grains and having a cupronickel jacket, substituted. This is the correct .30 calibre cartridge, Model of 1906. It pushed the bullet at 2700 ft/sec and used a charge of Pyro D powder (very fast and nasty: pressure was over 50,000 PSI).
Following World War One, the US adopted the Ball Cartridge caliber .30" M1, this using a 173-grain BT spitzer bullet at about 2500 ft/sec. This bullet was gilding-metal jacketed and was a copy of the Swiss bullet, with which the Americans experimented (in combat) during the Great War. This was to have supplanted entirely the original Model 1906 cartridge, but it turned out later to have too much range for many restricted rifle ranges..... so along came the .30" Ball Cartridge M2, using a pointed flkatbase bullet at 152 grains, salvaged lead-antimony core and with the velocity boosted to a little ob=ver 2800 ft/sec because of better powder technology. THIS was to be the standard American cartridge until the end of the .30-'06 era.
Funny thing, but the Garand rifle was developed entirely with the Ball M1 catrtridge, but was USED almost entirely with the Ball M2. John Garand was worried that the Ball M2 might not develop sufficient gas pressure at the muzzle takeoff to power the M1 rifle! And today..... all the warnings against heavy bullets in your Garand..... which was DEVELOPED FOR the heavy bulet!
Get a copy of HATCHER'S NOTEBOOK by Maj.-Gen. Julian S. Hatcher (Stackpole, Harrisburg, PA), which now is back in print. It's all in there and the tale is completely authoritative: Hatcher himself was one of the men involved with the entire program.
Hope this helps.