I too had trouble keeping my cat from sleeping on my fabric every time i'm not working on it. What works for me is to lay a piece of aluminum foil on the fabric when i leave. My cat hates it - no more cat hair in my weaving!!
Thanks carolvan. that is a great idea. I have several cats and they also love to sit on my work. I will definitely give this a try. Thanks again for this very simple but sound solution.