Paige had guessed conspirator John Surratt (though her post to that effect has mysteriously disappeared). That was a good guess given the fact that Surratt had many aliases. Unfortunately it is not the correct answer.
Hint: I figure I could provide the reason for the alias since it is incredibly unlikely anyone will get that. The conspirator who used the alias Charles Prout, did so in order to fool a photographer and keep him from knowing his real name.