woman of the house vs homemaker

woman of the house and homemaker both are nouns.

Word	Noun	Adjective	Verb	Adverb
woman of the house	Yes	No	No	No
homemaker	Yes	No	No	No

As nouns, woman of the house and homemaker are synonyms defined as:

woman of the house and homemaker: a wife who manages a household while her husband earns the family income

Other synonyms of woman of the house include housewife, lady of the house.

woman of the house (noun)	homemaker (noun)
a wife who manages a household while her husband earns the family income	a wife who manages a household while her husband earns the family income