Well done with your listening and transcribing, Mick!
Peter Kennedy recorded from both father and son McPeakes in July 1952; he noted the father as Frank McPeake, and the son as Francis or Francie. There are pictures of them attached to the diary of his Northern Ireland recording tour in the Peter Kennedy Collection, Belfast, 1952.
Francis McPeake, who sings the song on this recording, says he got the song from his father when he was four years old, which would be about 1921. I expect his father could have given more information about it had he been asked. The McPeake Family website has a history of their singing tradition, but it doesn't say much about where the songs came from. McPeake Family Heritage

Matthew Edwards