Butler is to Jeeves as Maid is to

In earlier centuries, the word would be Abigail, but I don't think many people would understand it now.

The OED says:

Now arch. and hist. A lady's maid; a female servant or attendant.

I'm not aware of such a word for a maid, but a cleaning lady or home-help might be a Mrs Mop

Mrs Mop (also Mrs Mopp) NOUN

British (A nickname for) a charwoman, a cleaning lady.

Origin 1940s. From the name of a charwoman in the BBC radio comedy series I.T.M.A (‘It's that Man Again’), broadcast from 1941 to 1945.

— Oxford Dictionaries

Hazel was probably the best-known maid in mid-20th century America. In addition to the comic strip, there was also a TV show in the 1960s.

Still, nowhere near as universally known as Wodehouse's Jeeves.