In "History of Modern U.S. Military Small Arms Ammunition", Vol. 1, 1880-1939, Revised, Hackley, Woodin & Scranton call the cartridge the "Cal .30 Springfield Armory Cartridge".  There were many changes made during the early years.  They also discuss the rimless versions, generically termed "the Cal. .30 rimless Frankford Arsenal cartridge".  The writers assume that one version of the rimless case was the 7.65 x 54 mm Belgian Mauser, loaded with a 215 grain bullet. The book has 5 pages detailing cartridge development 1890-1893.