.A little more research makes it *seem* more complicated than I was originally thinking.. but still understandable.. I'll provide a few links for review..
https://www.backyardchickens.com/threads/skin-color-is-sex-linked-in-mixes.1262009/...
If the white male has dark skin.. that can be sex linked over light skinned females! (separate from the barring).. female offspring would be dark skinned and males light skinned.. I believe it may take a few days to develop more clearly.