Warm and White is a cotton batting. Warm and Bright is poly, so perhaps that's what you're using? Both are made by the Warm Company. I've used both with no problems. The main cause of bearding is using a fabric with a low thread count. Quilting with a dull needle can also contribute. The fibers won't magically disappear, but they should eventually break off and hopefully quit shedding. Don't use a lint roller or try to pick them out; that will just cause more fibers to come through.