Wow, thanks for all the suggestions!

Curley...I like the tablecloth idea. I would have never thought of that one.

Balish...I can thread a needle and that's about it. Sometimes even that is a challenge!

The pillow specifically says 'do NOT dry clean.' Yesterday I pulled out the trusty yellow pages and found a laundromat that's probably no more than 2 miles from where I'm at, so when I have some time I think I will go that route. Maybe they will have Wi-Fi and I can sit and read the forums while my pillow gets clean.