The .38-55 (1870s) and .32-40 (1880s) both were introduced by Ballard in that company's popular and successful series of high-end target rifles.
They remained primarily target cartridges until Winchester introduced the Model 1894 chambered for these two rounds. The smokeless .30-30 and .25-35 didn't debut in the 1894 until 1895, when Winchester was finally able to procure enough smokless powder to load sufficient quantities of ammunition.
Savage picked up both rounds for its Model 1899, which undoubtedly helped keep them alive through the transition to smokeless powder.
"The gift which I am sending you is called a dog, and is in fact the most precious and valuable possession of mankind" -Theodorus Gaza
Baby Jesus cries when the fat redneck doesn't have military-grade firepower.