The other verse is the "straight" one, sung to the same melody. This was a 1915 pop song, written by Albert von Tilzer, and was a favorite among hillbilly string bands in the 1920s and 1930s. Jimmie Revard's band, the Oklahoma Playboys. is mostly forgotten today but was one of the best western swing groups of that music's Golden Age. They were jazzmen and hot as a six-shooter on Reno Street.

The straight verse goes like this:

My little girl, you know I love you, and I long for you each day
My little girl, I'm dreaming of you, though you're many miles away
There was a time, down in the wildwood, When you promised you'd be true
My little girl, you know I love you, and I'm coming back to you.

Those are the lyrics from the Revard 78. They vary slightly but not significantly from the original set. Revard only does the chorus (straight and parody), not the verse or the interlude riff. The UCSB cylinder preservation site has a free download of a 1915 Edison, and there are a couple of other pop recordings at jazz-on-line.com. Song is very friendly to three-chord guitarists.