Now as to the Barkers not being able to breed WC animals, why are they credited with the first breeding of so many difficult species and morphs of more common ones? If your referring to the burgundy albino, I suggest a closer look at how many animals they have actually gotten WC and bred.
I have a WC, although the Billingsley method did not work for me, it does not mean it hasn't worked many times before. I started the Barkers method and my WC girl immediately ate within 2 weeks. We followed many suggestions for our WC girl for months and got no where with it. Try different things, but really think about how her security is, and the husbandry. I agree with Ron when he says that the reason they wont eat is 90% husbandry problems.
To the OP, there are many different ways to get them to feed, and not one way is right or wrong. If you give us an idea of your setup, and how often you handle, peek at, offer food etc. Any information will help us narrow down what you have done and what else we can offer.