No, but a wayfarer is offered a room for the night, if he wants to sleep with "the baby-o." No, he'd just as soon sleep in the barn. Next morning at breakfast he meets a beautiful girl that "Pa calls 'the baby-o." Driftwood then introduces himself as "the fool who slept in the barn last night." I'm only guessing on the title, but it's repeated at the end of each verse.