Generally speaking, lutinos will not have any dark coloration on them. (like the chick) Since both parents are pieds, that explains why all the chicks are also pied. With one of the chicks also be cinnamon, this would indicate that the father is split cinnamon himself.
In truth, she is a lutino pied, and if she ever grows "dirty feathers" that don't wash clean, that also indicates she's cinnamon.