If it's the same gun we're talking about, the narrator said it's a Savage .22/.410 combo. Sorry, I didn't catch the model number but should be easy enough to look up (does Savage even make more than one model of .22/.410 combo gun?)

In one scene, a guy was trying to shoot a ground squirrel (is that what one of the cast members was referring to as "gophers"?) and I wonder if he chose to use the .22 or .410 on it? He apparently missed since it scampered away. It looked like he had hit it, but I guess it was simply reacting to the sound of the gunshot when it jerked away. They didn't find any blood at that spot.