Logic Puzzle 8

It's time to prove your Spock-like levels of logic.

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Doctor who?

Dr White, Dr Black and Dr Brown are lunching together in the hospital canteen when the one woman in the group observes that their names are white, black and brown and that they have white, black and brown hair. The person with black hair then replied, saying that – even MORE interestingly – nobody's hair colour matched their name. "Good lord, you're right!" Dr White piped up in agreement.

Given all this info, and the fact that the woman in the group doesn't have brown hair, who's who?
Doctor who?

We know Dr White's hair isn't white, because nobody's hair colour matches their name. It isn’t black either, because Dr White replies in agreement to the black-haired person's statement. That means, Dr White must have brown hair, and is not the woman in the group. Now, the black-haired person can't be Dr Black, and can't be Dr White, so he must be Dr Brown. That leaves white-haired Dr Black as the woman who made the opening statement, triggering this whole painful puzzle.

Doctor who?