I used to have a Burl Ives record (called "Wayfaring St ranger," I think). He sang the Green Broom song. It starts out: There was an old woman da da da da da da da da da da da da da She had but one son and his name, it was Tom, And he went to the woods cutting broom (Or "brougham").

If you go to Songs.com and look under Child's ballads or Folksongs of England, Ireland, and Scotland, you will probably find it. If I can find the rest of the lyrics, I will send them