I didn't see Martha Raye either, but I do have the souvenir programme from when she was in it. Yes, they did give her "I Wanna Be Happy".
When she joined, the billing changed. She and Benny Baker and Bobby Van and Helen Gallagher were the leads and the Ruby Keeler part became supporting.
I don't think that Debbie Reynolds would sit still for that...
"A coherent existance after so many years of muddle" - Desiree' Armfelt, A Little Night Music
"Life keeps happening everyday, Say Yes" - 70, Girls, 70
"Life is what you do while you're waiting to die" - Zorba