Silk caps and hankies are made by stretching a single silk cocoon over a bell-shaped form to make a cap, or over a square frame to make a hanky.  Both caps and hankies are comprised of many layers of these stretched cocoons. You can spin them by pulling off one layer (one cocoon) at a time by separating it at the edge or by grabbing a bit at the center top and pulling the remainder away from the inside of the cap/hanky. Check to make sure you only have one layer as it will be much easier to draft them individually. For ideas on how to knit with hankies, see this post on Maia's blog.