Similarity to "My Money Never Runs Out" is explained by both songs being written by the same guy (Irving Jones, a Tin Pan Alley composer back in the days of 1900). There's a committee-vetted set of lyrics that is pretty damn close to what William Moore seems to be singing on the record (as I hear it).
You can listen to/download Moore's original recording at www.juneberrys78s.com, but in order to do so you'll have to get a password to the Blues and Gospel section of the Roots Music Listening Room there. It's a painless process but they ask you to limit yourself to 15-20 downloads a day.