There was an old woman lived under a hill


 * "There was an old woman who lived under the hill, under the hill, Hi-ho-hum, &c."
 * "There was an old woman lived under a hill, And if she's not gone, &c."
 * "There was an old woman lived under a hill, Sing trolly lolly, &c." (i.e. "The Trooper Watering His Nag")
 * "There was an old woman lived under a hill, She put a mouse into a bag, &c."