I went through some of Mom's music last night and came up with a few that are probably WWII. If you need melodies I have the music, let me know. A few have already been mentioned.

Coming In On A Wing and a Prayer
I'm Gettin' Sentimental Over You
I've Got a Lovely Bunch of Coconuts
Stars and Stripes on Iwo Jima
The White Cliffs of Dover
Candy
Bell Bottom Trousers
Soldier's Last Letter
There'll Be A Hot Time in the Town of Berlin (When the Yanks Go Marching In)
Praise the Lord and Pass the Ammunition
Six Lessons from Madam La Zonga
When the Lights Go On Again (All Over the World)
A Little on the Lonely Side
Paper Doll

Also have a military book with patriotic songs in it if you want a list of those songs. It's called "Army, Navy, Marines" and has songs like:

Twenty-One Dollars a Day, Once a Month
Boogie Woogie Bugle Boy
When Private Brown Becomes a Captain

and if I remember right about 30 to 40 more such songs. I'd be glad to share any you might be able to use.

bet