Just to whet your appetite.
Molly Bawn early printings

Belfast garland 1797 in ITMA 'The Youth's Grievance, or the Downfall of Molly Bawn'. 10sts

Damon and Phillis's Garland. BL 11621. c. 5. 49.4 'A Song called Molly Bawn' 7sts

Robertson, Glasgow, 1799. BL 11606. aa. 23. 24.2 'Mally Bann' 12 sts

Bottle & Friend's Garland nd. BL 11621 c. 3. 4.4 'Molly Bawn' 7 double sts.

No imprint. nd National Library of Scotland. 2346 online. An Admired Song called Young Molly Bawn' 6sts.

As with 'Willie Leonard' I'm inclined to think these northern Irish ballads are based on real events, a little romanticised, probably of the mid 18thc.

Robertson's version starts 'Jamie Randall went a hunting'
Andrews of New York actually tiled his version 'Polly Von Luther and Jamie Randall'.