Interesting word. I started to write asking if you meant "scrubberwoman", because this is the word that immediately came to my mind. The I googled and found that scrubwoman is common in AE.
In BE scrubberwoman was used many years ago for the job, but has fallen out of use, I think because the word scrubber has become a word which is used in an insulting way to describe a woman the speaker thinks has "low sexual morals". Usually used by a man who has been rejected!