Nice job! I think the rhyming and repetition is very effective. My suggestion would be to make all the key verbs different (most of them are, but some are repeated, i.e., snuggle and hide). Also, regarding the stanzas that don't end in "And go to sleep," consider interspersing them evenly throughout the story to enhance the rhythm.
Very nice! I like the rhythm and the sentiments expressed! The second sentence has a typo (change "to" to "you"). Also, consider that many children have more than one mother and/or more than one father. Thanks for sharing!