Hi Joe,
This actual song usually known as 'The Fall of the Leaf' on broadsides doesn't appear to be very old in that format. The earliest I've got is one printed by Swindells of Manchester which could be as late as c1850.
However the song was obviously inspired by very similar pieces from the 17th century titled 'The Life of Man' in the Roxburghe Collection, available to view on the UCSB EBBA website.