There seem to be 5 different songs with the same title:

1. SING ME A RAINBOW (PAINT ME A DREAM)
Written by Carole Bayer & George Fischoff
Recorded by The Strawberry Street Singers, 1968

2. SING ME A RAINBOW
Written by Estelle Levitt & Lou Stallman
Recorded by Astrud Gilberto, 1967

3. SING ME A RAINBOW
Written by Stewart Harris
Recorded by Stewart Harris, 1978

4. SING ME A RAINBOW
Written by Shel Silverstein
Recorded by Dr. Hook & the Medicine Show, 1972

5. SING ME A RAINBOW
Written by Lorraine W Walden