go to sleep my baby close your little eyes the mother moon is watching from her starry skies

by Tab Harry
(East Quogue, NY)

My grandmother used to sing it to me....Go to sleep my baby, close your little eyes, the mother moon is watching from her starry skies. Go to sleep my baby, rest your little head, the little stars are peeping to see if ___'s sleeping. Go to sleep my baby, good night, goodnight.
That's all I remember. Gramndmother is gone. I'd love to know the rest.