It's definitely the same song, although it looks like it's been folk-processed a bit. I transcribed this from a sound sample:

... falls in love with his little turtledove
He will linger all around under her jaw.
He will kiss her for her mother, a sister or a brother
Till her father comes and kicks him from the door.
Pulls a pistol from his pocket, and vows he will cock it
And blow away his giddy brain.
His ducky ....