Actually I was mistaken. It also says “Manufactured for Browning under Patent dated October 2 1900 by Remington Arms on June 4 1902” stamped into the barrel.
Hence my earlier point! Hah!
Mr. Browning got in a squabble over royalties with them. Royalties were at the time a foreign concept. He was smart enough to see simply selling his design was short sighted. He recognized how many units they could sell. He was both a shrewd businessman and ahead of his time with regard to mechanical design.