Hah, what a great idea. Don't mind if I do. Circa the mid 1870s.
C. Auguste Dupine: An old man by now, but still sharp-minded and surprisingly spry. The brains of the operation. (Poe, various)
John Clayton, Viscount Greystoke: A charismatic adventurer-lord and the team's field leader. His grandson will achieve some notoriety as Tarzan, the Ape-Man. (Burroughs, various)
Rodian Romanovich Raskolnikov: Nearly a decade in prison has eliminated his neurotic reaction to crime but has not done away with his self-aggrandized attitude. He now kills enthusiastically, and has a remarkable genius for it. He agrees to assist the League in return for a reduction of his sentence. (Dostoyevsky, Crime and Punishment)
Beloved: A malevolent spirit (or so they say) from America, possessed of a myriad of other-worldly powers. She can be controlled only so long as she remains entertained. (Morrison, Beloved)
Bertie Wells: A petulant child prodigy, inventor and engineering wizard responsible for most of the league's equipment. He is assisted in all things by the Morlock, a monstrously strong creature who is inexplicably subservient to Bertie, the only one capable of communicating with it. (Wells, The Time Machine)
Jo March: A hot-tempered young woman from America, she came to Europe seeking adventure (found) and perhaps to write a novel (in progress). She is initially something of a stowaway and hanger-on with the group, but proves herself to be spirited, resourceful, a quick learner, and exceptionally stubborn. She falls somewhere between the solemn maturity of Dupine and Greystoke and the wild misbehaviour of Bertie and Beloved. (Alcott, Little Women)
Wow, it was a real stretch to make some of those fit.