"Bye, baby Bunting" (Roud 11018) is an English nursery rhyme and lullaby.
In one version:
A number of variants exist, including "To get a little rabbit's skin" in line 3.
From 1784:
The expression bunting is the name of a group of species of British birds; it is also a term of endearment that may also imply 'plump'. A version of the rhyme was published in 1731 in England. A version in Songs for the Nursery 1805 had the longer lyrics: