As Steve says, it was spread by penny broadsides by several printers. The Bodleian Library has copies, no date, no author.
Kilgarriff says there were several spin-offs, including "I'm the Dark Girl Dress'd in Blue," and "The Young Chap Dressed in Blue."
It is listed as one of Stanley Holloway's standards.

I couldn't find the song listed on any of the Holloway cds listed at amazon.com. Try amazon.co.uk