One of the sources I found was the Northern Broadsides Education Rersource Pack.

https://www.northern-broadsides.co.uk/wp-content/uploads/2015/03/An-August-Bank-Holiday-Lark-Education-Pack.pdf

Education Pack

I couldn't find a complete script on line, but copied the verses that I could find. (The script is for sale on the Northern Broadsides website.)

But I have found a video with Mike Waterson singing his song! The words are slightly different but a little indistinct.

https://www.youtube.com/watch?v=kLY1QFg2KDU

The Northern Broadsides theatre company is well known for performing Shakespeare in northern English accents - which may well be closer to the English Shakespeare spoke than the Received Pronunciation of today.