lyrics of the two little dicky birds also known as fly away peter, fly away paul nursery rhyme with origins not found in history

"A Nursery Rhyme,
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Two little dicky birds: lyrics

(Fly away Peter, fly away Paul)

The origin?
No specific origins in history could be traced for this popular children's nursery rhyme! Neither could any other verses be traced!  What is also unusual is that although the rhyme only has four lines there are two titles for it - the obvious 'Two little dicky birds' and the more obscure 'Fly away Peter, Fly away Paul' 
which is also used!


Two little dicky birds sitting on a wall,
One named Peter, one named Paul.
Fly away Peter, fly away Paul,
Come back Peter, come back Paul!

Two little dicky birds rhyme: the lyrics & words