I think this is not a slip-up. It clearly shows in the movie that they are playing black (in the books they also play black). The black queen's initial square should indeed be black.
In the game of chess, the queen must be placed on its own color. So, a black queen would go on a black square, and a white queen would go on a white square. Therefore, Hermione was on the right square. (I play chess quite often, so I know this is true)
Hermione stood on the correct square. After Ron directed them to their squares and prepared to begin the game, he says, "White moves first," and a piece moves forward from a white square on the opposite side of the board. Then there is the discussion as to whether or not it was a "real" wizard's chess game. So Hermione was correct in starting on a black square.
It's true she's on the wrong square. you see it is quite simmple really: she is queen side castle of the black team, queens stand on their collor square which the queen is doing in the movie, the the bishop is on white then the night is on black and what comes after the night? THE ROOK. so you see the rook should be on the white square.
If you go to the beginning of the scene, it clearly shows an empty white square where the castle should be. Hermione then walks to and stops on a white square. Later in the scene, she is shown standing on a black square as if Ron moved her during the game.
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