In The Cowboy Dentist, the story unfolds in the quaint town of Herford Flats, where Dr. Smiley Burnett serves as the only dentist. The episode begins with a lively introduction featuring the Riders of the Purple Sage, setting a cheerful tone. As the narrative progresses, we meet Elmer, a patient with a peculiar request: he wants Dr. Burnett to pull a tooth without any real pain or reason, simply to experience the gas that leads to strange dreams. This whimsical request showcases the comedic nature of the episode and introduces the audience to the lighthearted world of cowboy dentistry.