Joe, you might have a hard time finding the song here because "cuckoo" can have some spelling variations. Put [pretty bird] in square brackets in the search box in the upper-right corner of this page, and you'll be amazed at all the variations of this song that you will find. Here is a link to the usual form of this song, but you really need to do a search of our treasure chest of songs here - the results will amaze you.
-Joe Offer-