Bradford,
What version of JFBConnect are you using? If it's 3.x, Facebook discontinued support for the authentication mechanism used in that version earlier this month. We've sent multiple newsletters, created a few blog posts, and tweeted about the update over the last few months, so hopefully that's not it. If you are on 3.x though, upgrading to 4.0 should fix your problem immediately.
If that doesn't help, we'll help you figure out the problem however we can.
Thanks,
Alex