Conversation so far:
How did the New York Dolls get together?
In 1970 they formed a band again and recruited Johnny Thunders to join on bass, though Sylvain ended up teaching him to play guitar.
They called themselves the Dolls.

Question: How did they come up with the name "the New York Dolls?"?
Self-contained rewrite: How did the New York Dolls come up with their name?