I’ve been looking for the same song. These are the verses I remember

Good morning to you
Good morning to you
You look rather sleepy
In fact you look creepy
Is that any way to start a new day

Good morning to you
Good morning to you
You look like a rabbit
Don’t make it a habit
Is that any way to start a new day

Good morning to you
Good morning to you
You rather drowsy
In fact you look lousy
Is that any way to start a new day