Stetson is a brand of hat that was popularized in the American West. The most iconic style of Stetson is the cowboy hat, which was worn by many famous cowboys like John Wayne and Roy Rogers. President Lyndon B. Johnson was also known for wearing a Stetson cowboy hat. In fact, he even had a custom-made version that was made out of buffalo hide and had his initials monogrammed on the brim.