OK
After a little hair pulling, some screaming, and, maybe, a little crying that I'll never admit to, I was able to find a way to get the "This site is protected" off my URL and can now share my site with Fb.
When I had the site pw protected while I was building it, I hit "Publish" and then "Share". This caused Fb to capture my URL as a password protected site. Removing the pw protection on my store did not affect how Fb saw my URL. As far as they were concerned, my site was forever pw protected.
The prevention:
1. Never publish your Weebly store while the pw protection is still on. Never.
The cure:
1. After removing the pw protection, go to
http://developers.facebook.com/tools/debugand enter the new URL.
2. Hit "debug"
3. You should see all sorts of information about your store pop right up.
4. WAIT. Don't republish and share your store right away, I waited a couple of hours for everything to reset. (Yes, I didn't wait the first time I did this and it still showed the site protection).
5. Publish and Share your store. Voila!! My store is now shared on Facebook.
Happy Dance !!