The way I heard it, it was Miss Suzy, not miss lucy, and after the doctor and nurse and etc told her what they though was wrong:
Up came the water, up came the soap! Up came the bathtub that wouldn’t go down his throat!
Miss suzy slapped the doctor, miss suzy slapped the nurse! Miss suzy payed the later with the alligator purse!
Out went the doctor, out went the nurse, out went the lady with the alligator purse!