forgery vs falsehood

forgery and falsehood both are nouns.

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

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

forgery: criminal falsification by making or altering an instrument with intent to defraud
falsehood: the act of rendering something false as by fraudulent changes (of documents or measures etc.) or counterfeiting

Other hypernyms of forgery include falsification, crime, criminal offence, criminal offense, law-breaking.

forgery (noun)	falsehood (noun)
criminal falsification by making or altering an instrument with intent to defraud	the act of rendering something false as by fraudulent changes (of documents or measures etc.) or counterfeiting
a copy that is represented as the original	a false statement