Why is batwoman the black rook and catwoman the white queen?

Well Catwoman is an on again/off again girlfriend of Batman, while Harley Quinn is that to the Joker, them being black King and Queen. I think they wanted the Kings and Queens to be in relationships, like in real life. Who would you have preferred for white queen?

Why is Batwoman being a rook an issue?

Edited: Ah, I see the problem.

Batwoman isn't actually a black rook. That was just a mistake made by the company when putting out promotional pictures. She's a white rook along with Huntress, and the black rooks are Man-Bat and Killer Croc.

Batgirl or Batwoman would have been better queens. In the chess set sold by DC, ($795!!) Catwoman is the Jokers queen and Batgirl is Batman's.

@amaryllis: Do you have links to where I could see pictures of this set?

Edited: Never mind, found it.

Agreed, even Nightwing would've been better than Catwoman.

@v_scarlotte_rose: Ok cool.

@rustyroy: And a hotter one too! :)

@amaryllis: Ok, I don't feel that way about Nightwing.