If this helps, I found this on the Warm and Natural site: Is there a right or a wrong side to Warm & Natural or Warm & White?
No, there is no right or wrong side of batting but there is a "scrim" side. When manufacturing Warm & Natural or Warm & White, the cotton fibers are layered onto a scrim - a thin substrate material. During the needle-punch process, barbed needles push the cotton fibers through and entangle them into the scrim. When quilting Warm & Natural or Warm & White, it is usually easier to do so in the same direction it was needle-punched - the cotton side facing towards your quilt top and the scrim side facing to your quilt backing. With Warm & Natural the cotton side is distinguished by its leaf & stem remnants (face to quilt top). With Warm & White there is a side that is shinier and smoother. This is the scrim side and should face to your quilt backing.