Here's a song with a true story behind it :-
https://soundcloud.com/tim-radford/the-old-baby-farmer
And the story is explained in detail here:-
Broadside Ballads Songs | Murder Ballads | Paul Slade - Journalist
In fact
The Old Baby Farmer is just one song, one story, of many Victorian "Broadside" ballads that Paul Slade has put together under The Gallows Ballad Project, as you will see if you explore the second link at all.