First of all, decide if you really need a parasol. The authentic ones of the period were small, and didn't keep the rain or much sun off your face. (Incidentally, they did have large, plain black umbrellas for keeping off the rain, used by men and women.) Even if you have a folding umbrella, you still have to carry it around with you while you shop, etc. I haven't seen any documentation for parasol sleeves for carrying, but
they are a good idea for protecting a decorated one while storing or transporting. If you think a parasol is the thing to set off your nicer hoop dresses, here are some items that may interest you.
Most sutlers carry a plain nylon black or white parasol with a long plain handle for about $10. These will do in a pinch, but should be altered for better authenticity. The nylon can be covered or replaced. The plain wooden handle can be embellished with a carved wood or metal handle. Sometimes the inside of the parasol was covered so you didn't see all the hardware. As always, make sure that the style and cost of your parasol match your outfit, occasion, social and economic situation.
Did you see the parasols in the Charleston scenes in the movie "Cold Mountain"? Did you wonder if they were accurate and where they came from? Visit this website to see close-up photos of these reproductions, and compare it with the one you have in mind. Do any of our members want to try to locate or make some for us to buy?
http://shootingstarhistory.com/cwparasols.html