1st song lyrics: Is you or is you not my baby... 2nd song lyrics: you must have been a beautiful baby, you must have been a wonderful child, when you were just starting to go to kidnergardin...

Tom & Jerry -- https://www.youtube.com/watch?v=R-sLX5UZaxk

The second song you ask about was sung by Michigan J. Frog, an animated cartoon character who debuted in the Looney Tunes cartoon One Froggy Evening (December 31, 1955).