Can JFBConnect work on a facebook user page?

A FB Page and a FB App are separate things altogether. When you have an App created, you can use the Facebook Like Box (JFBCFan module) to display information about your FB Page on your website (# Likes, activity stream, user faces).

Beyond that, I'm not sure what you mean by "connect the web site ... to the page she is running". What are you looking to do? With the Facebook App, users will be able to login to the site (if you want) and you'll be able to do a lot of things, but just not sure what you want to do with the FB Page itself on the site.

Hope that helps clarify some things, but definitely keep me posted on what your intent is and we'll help how we can!

Thanks,
Alex

The Like button can be used for any URL. That can be the home page of your site, any sub-page, or it can even point to your Facebook Page. You can place the Like button on any page of your site and point it anywhere else. When you use the Like button for different pages of your site, each page will get it's own unique Like Count and posts to the user's wall. When you point the Like button to your FB Page, all the Like's will go to the FB Page.

So, you should be able to do anything you're looking to do with the Like button.

Showing the feed from your FB Page can be done with the JFBCFan module which can show all admin posts from your page as well as the Like button and other features.

Hope that helps clarify some more, and good luck!
Alex