Ah, synchronicity!
Pilgrim, someone else just asked for a modern version of this song (where Willie gets his comeuppance before he is able to kill the woman). CLICK HERE.
Welcome to the Mudcat where these strange co-occurances seem to happen with some frequency. We also have the DigiTrad Database (the DT) with over 6000+ songs in it.
You can search it by going to the upper-right-hand corner of this page where it says "Search the DigiTrad Database". If you type in [banks of the ohio] you will find the song you seek. The brackets [ ] just tell the search engine to look for the entire phrase.
There are a few related songs, CLICK HERE
Enjoy the song!
Roger in Baltimore