"Ain't it the truth?"

The Philly revival of JAMAICA got me to thinking about the song "Ain't
It The Truth?" which was cut from the film version of CABIN IN THE SKY
but used in the stage musical JAMAICA.

Of course lots of film songs have been transfered to the stage in
reverse adaptations (GIGI, SEVEN BRIDES..., the Disney musicals, etc.)
and many cut songs from stage shows have been reworked and used in
subesquent shows ("Suddenly Lucky" in SP became "Getting to Know You"
in K&I, etc.) but are there any other instances of whole songs, cut
from one source then being used in subesquent (and different) stage
shows?

"Bill" comes the closest to mind, but Hammerstein & Kern tweaked it
before putting it into SHOW BOAT. "The Man I Love" was tried in
several shows before it became a standard on its own and the Gershwins
decided to let their successful dog lie.

"Human Again" was cut from the film B&tB but used in the stage
adaptation. Don't know if "Someday" was used in the German stage
version of "Hunchback."

Still, none of these examples are quite so drop-n-play as "Ain't it
The Truth?"

Well, there is "Boys And Girls Like You And Me" cut from OKLANHOMA!,
MEET ME IN ST. LOUIS (film) and TAKE ME OUT TO THE BALLGAME (film)
before  being shoehorned into the stage STATE FAIR, but that wasn't
really the authors' choice.

Am I missing any obvious examples?