fable vs falsehood

fable and falsehood both are nouns.

Word	Noun	Adjective	Verb	Adverb
fable	Yes	No	No	No
falsehood	Yes	No	No	No

As nouns, falsehood is a hypernym of fable; that is, falsehood is a word with a broader meaning than fable:

Other hypernyms of fable include falsity, untruth.

fable (noun)	falsehood (noun)
a short moral story (often with animal characters)	the act of rendering something false as by fraudulent changes (of documents or measures etc.) or counterfeiting
a story about mythical or supernatural beings or events	a false statement
a deliberately false or improbable account