Nope. As early as 1821 they were all listed in a big book.
A quick historical inflation calculation shows that taxis then were about the same price as now, approx 7 quid a mile, for short journeys. Longer journeys are actually cheaper now.
Can't answer the question, though!
Bet my brother could, since he is a London Cabbie; and also licenced to do the historical tours, so he's full of this stuff.