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Not necessarily. It depends on what other genes the white bird has and also on what type of white- dominant or recessive white.
IF the whites have sex linked silver then yes a gold base bird(any bird that's brown/red/buff) over a white with the sex linked silver can work as a sex linked mating. If they don't have sex linked silver then it won't be a sex link mating.
Cocky, as to white cross, it also depends on what other genes she has. White isn't a color.. it simply prevents the bird from expressing what colors and pattern genes it has. Hard to tell what you will get out of her. It's usually a good guess to assume a white is black bird though.. and possibly silver also(silver is sex linked) as silver is often used to clean up a white bird(for a whiter bird with less flecking or to prevent any red from "bleeding through").
Black and blue are the same really. Blue is simply a black bird with the black being affected(it changes the shape of the pigment granules in the feather) to give a lighter color. The only difference offspring-wise is to expect about half of the chicks from blue hen to inherit the blue gene.
Can't help beyond this, as I don't know what's the genetic make up of a buff orp, black orp or a white orp. There's more than one way to make a solid buff, solid black or white..