Internal rhyme schemes were extremely common in popular song of the Swing Era. One familiar example is the bridge from "Don't Fence Me In," written by Cole Porter for the film "Hollywood Canteen" in 1944:
Just turn me loose let me straddle my old saddle,
Underneath the western skies,
On my cayuse let me wander over yonder,
'Til I see the mountains rise.
You were made to go out and get her
The minute you let her under your skin
Then you begin to make it better