Possible Clues:

• Story about superhuman beings of an earlier age
• It's just a story that she has a single lisp (4)
• Sasquatch, e.g.
• Yen to interrupt thousandth tall tale?
• Olympian story
• Fictitious story
• That babies come from a 53-Across, e.g
• It's not true that the girl sounds as if she has a lisp
• Debunked idea
• Story from Olympus