lady of the house vs homemaker

lady of the house and homemaker both are nouns.

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

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

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

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

lady 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