The eye colour means nothing.
In terms of genetics it does - I don't think 2 blue eyed parents could have a brown eyed child as they would both have to have 2 blue genes, which means they would each pass on one blue gene to the child, meaning he or she would automatically have blue eyes.
A brown eyed person can have a recessive blue gene (because brown is dominant), but not the other way around I don't think.
Although in this case, I think there are probably bigger reasons why the whole thing is unlikely!