close your eyes, and go to sleep

My grandmother used to play a small record for me when I stayed at her house. I remember some of the words to one of the lullabies, but not all (I might even be making up some of the words) . I would love to know if someone recognizes this song and can fill on the missing parts for me.

So close your eyes, and go to sleep. From your lips, don't make a peep.Your Mommy's tired, her day is done, nighty night, my little one.
You probably don't realize that your the apple of our eyes. Your smiling face, your eyes so blue, we're just glad that you're just you...