At the risk of lowering the tone, there is even a bawdy version in the English 'Book of Rugby Songs':
Oh the cuckoo she's a strange bird, She sits on the grass
With her wings neatly folded and her beak up her A***
Whilst in this position she murmers "twit-twit"
'cos it's hard to say cuckoo with a beak full of S***!

Dave.