I won't claim to be an expert, but after several years of collecting, loving old cobs, and watching eBay for both old pipes and old catalogs, this is the guesswork I have:
The first MM sticker was yellow-ochre in color, bore the image of an ear of corn, and read "Missouri Meerschaum" over the top and "H. Tibbe & Son Mfg. Co." around the bottom. In 1909, H. Tibbe & Son merged with their first competitor, the Detmold Cob Pipe Works ("detmold" was their own patented rival process for making hard bowls) and took the name "The Missouri Meerschaum Co." Their 1909 catalog features many repeats, as they were making both their own and Detmold's nearly-identical models at the same time. The new sticker was also yellow and looked identical, save that it lacked the Tibbe & Son text below. I believe this label was used well into the 1930s, if not right up until WWII.
What I believe to be the post-WWII sticker was two-tone metallic. It had a gold border and lettering on a reddish-brown background. "Missouri" and "Meerschaum" ran around the top and bottom, respectively, with "Fine cob pipes" in the center with a little scroll design above and below. The next sticker used was in the same colors, but with a narrower gold border, same lettering around the circle, but had two letter Ms merged in the center, with "Co." beneath the middle. I believe this sticker lasted into the 1960s.
The next sticker is yours, which I think began in the 1970s, in yellow and brown, and was used until 2003 or 2004, when it was replaced with an identical design in yellow and maroon. I visited the factory in 2004, and obtained some unused stickers, still on the paper, in both yellow/brown and yellow/maroon.
The pipe you have was typically called a Pony Express, or simply Pony. Older iterations had other names. The early ones had bone stems; in the 1960s, they were black or white plastic; in the 1970s came black or transparent amber plastic.