Those characters where introduced in the Arkham Asylum one-shot during BftC written by David Hine. Pretty No-Face, Mirror dude, and Hamburger Lady where all introduced in that story where Jerimiah Arkham checks in on them after the explosion (they survived and where forgot cause only he had access to them being their special cases ie nobody dares look at what Hamburger Lady looks like, Mirror dude is obbessed with mirrors, and No-Face well.. let's just say he could be like the next Joker and Black Masks wishes he had that kid's origin).
Of the three No-Face has the possibly to become a great Rogue.