Though I don't know if the date would be completely right for serious folk collectors there is some amazing new research here from Ian Pittaway.

"...The first part of The Cuckold's Lamentacion, dated c. 1574, found in the back leaf of the Thomas Jones Woodward manuscript.

From its scattered references through his writing career, the song appears to have had a profound and lasting influence upon the boy Shakespeare, in a similar fashion to Ovid's Metamorphoses. It is easy to see why the song excited the playwright enough for him to borrow from it multiple times. One might even call the plot of the song Shakespearean, including as it does the dramatic and tragic themes of love, sex, betrayal, murder, regret and impending punishment.

You can hear a reconstruction of the ballad performed by The Night Watch in the video" [at the end of the article]
http://earlymusicmuse.com/the-song-shakespeare-stole-from/