The midi pretty well matches the tune given by Larkin, which seems to be the most used by singers, but is a mite slow. She matches it with Thorp's 1908 version.
Take a look at the music given by Ohrlin in "Yhe Hell-Bound Train," p. 34, which I think is better.
I noted that "My Love Is a Rider" in the DT actually is Thorp's version of 1908 and was published as "Bucking Broncho"; I think words to to this effect should be added to the DT notes.