Hi, JVZ - I'm quite sure it was Little Joe the Wrangler that Dietrich sang in "Destry Rides Again." Are you saying there was a second "Little Joe" in the movie? Marty Robbins also recorded "Little Joe the Wrangler," which means that Gene Graham probably has the lyrics and will probably post them in seconds (unless he realizes that Dick Greenhaus beat him to it). It's also on the David Wilkie "Cowboy Celtic" CD.
Oh, and take a look at this
-Five-Foot-Eight Joe Offer (don't call ME "Little Joe")-