I'm putting in an e-mail in to one of the authors of The Standard Catalog of Smith & Wesson to see if he knows anything about it.
Any chance of you posting some pictures?
The .32-20 was certainly popular in the United States, but I've never heard of it making much in the way of inroads elsewhere. By the early years of the 20th century, the cartridge was also well on its way to being forgotten. It was surpassed by a lot of the new smokeless wonder rounds that kept coming out.
Winchester had tried to soup up the round when it brought out the John Browning designed Model 92. They introduced a line of hot loaded rounds normally designated "Hi Speed" cartridges. Boxes came complete with warnings that they were not for Model 1873 rifles or black-powder Colt Single Action Armies, but people back then were about as intelligent as they are today... A lot of people ignored the warnings and destroyed guns. Luckily back then they weren't as quick to hire on an attorney to sue for pain and suffering.