cleaning woman vs cleaning lady

cleaning woman and cleaning lady both are nouns.

Word	Noun	Adjective	Verb	Adverb
cleaning woman	Yes	No	No	No
cleaning lady	Yes	No	No	No

As nouns, cleaning woman and cleaning lady are synonyms defined as:

cleaning woman and cleaning lady: a human female employed to do housework

Other synonyms of cleaning woman include char, charwoman.

cleaning woman (noun)	cleaning lady (noun)
a human female employed to do housework	a human female employed to do housework