homemaker vs lady of the house

homemaker and lady of the house both are nouns.

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

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

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

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

homemaker (noun)	lady of the house (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