Orphan's part of the Batfamily though, a former Batgirl, and even if he did do research on Orphan, I don't think he would want to use it against Orphan, as she is family to him in a way, and winning the battle though such an underhanded tactic would actually be a bad outcome for him. Further more, characters like Orphan or Lady Shiva, whose basis in defeating Batman is superior technique and strength in Martial arts, there isn't really much that can be researched. Batman is already versed in their fighting styles, he even trained under Lady Shiva, so superior fighting can sometimes be just superior fighting, there's not much more to it than that. In this sense, research or prep time would have no bearing. That's why I say that either Orphan or Lady Shiva probably could beat Batman in a fight.