"Bye, Baby Bunting" is a traditional Nursery Rhyme for children. Because of its gentle rocking sound and its sentiments about wrapping up a baby in warm furs, it is often sung as a Lullaby. The first half of this melody is similar to the dancing rhyme Ring a Ring o' Roses and there are some similarities too with the song See Saw Margery Daw. PDF sheet music, Midi and Mp3 files for this melody can be downloaded using the links in the left-hand menu.
The image below is the first page of the sheet music, and here you can download the full sheet music for Bye Baby Bunting for piano in PDF format.