You're sort of mushing together the name of the designer with the product he designed. It's not a "Browning," it's a "Colt." (Don't point those guns at me, boys. Hear me out.) In fact when I was a lad it was called the "Colt .45," not the "1911." And therein lies the beginning of the complex tale that might answer your question.
John M. Browning wasn't a firearms manufacturer. He was a firearms designer and one hell of a great businessman too. JMB licensed his designs to manufacturers that produced, marketed, and sold them, and paid him royalties. The big money for those manufacturers was (and presumably still is) in selling large quantities to the military. They buy hundreds or thousands of the same model, while the individual citizen might buy one. So JMB--being no dope, and having no interest in your right to keep and bear arms--designed for the military, not for you or me.
JMB designed what became the 1911 to meet U.S. Army specifications. The U.S. Army's immediate concern was to prevent Muslims from killing soldiers. (The more things change the more they remain the same, right?) The army found that its current sidearm and ammunition--the .38 Long Colt revolver--were ineffective for that kind of jungle warfare in the Phillipines. Colt of course was eager to license the Army's replacement, and JMB licensed the 1911 to Colt for production, marketing, and sales.
The 1911 was (and I think still is) essentially a U.S. military sidearm, which explains features such as the grip safety and changes from the original model 1911 to the model 1911A1. They were specified by the U.S. Army, which discontinued the 1911's adoption in 1985. Long before then, though Colt developed additional markets for the 1911: the police and us. Although the pistol and the .45 ACP round spread to some other countries, most other countries in the world--especially the Europeans--believed that they were the products of uncivilized yahoos who couldn't make a quiche if their lives depended on it. They adopted more "civilized" calibers, such as the 9mm and the 9mm Kurz (i.e., the .380), I suppose so they could kill with kindness.
In the meantime, JMB (who never met a buck he didn't like) founded Browning Arms to market his sporting firearms designs--those not for military or police use. That was in 1927.
So the 1911 is not identified with Browning Arms. It is identified with Colt. I suppose that there's nothing to stop Browning Arms from doing a centennial commemorative of the 1911 but I do think it would be silly and might even benefit Colt more by highlighting its identification with the 1911.
To make matters even more interesting, Browning Arms Company today is a subsidiary of Fabrique Nationale de Herstal, based in Belgium. Among the other companies owned by that conglomerate is FN, which manufactures, markets, and sells to the military and police throughout the world. Browning Arms Company still addresses the sporting market: us. The separate companies--FN and Browning--do cooperate: for example, Browning has the parts division for its own products and FNs in America, and both companies issued the High Power under their own brands, in different finishes appropriate to their markets.
Which leads us to the amusing part. What most of us know as the "Browning High Power" was produced by FN in 1935. We call it by the name of the designer, not the company. But we call the same designer's earlier pistol by the name of the company, not the designer: it's not the "Browning .45" but the "Colt .45," which proves something or other.
I've given you the short version, much compressed, and subject to argument about most details. But it's generally all right, I think.