Like Content and Facebook Page

Keith,
There isn't a way to have them tied together so one Like goes to multiple places. However, you can add Like buttons to your page that are for other pages on your site or for your Facebook Page itself. By using the Like module or Like tags, you can use your Facebook Page's URL, and any Likes will go to that page. For instance, if you add the following to your template somewhere, this would show a Like button throughout your site that, when clicked, would be for user's Liking your FB Page:
{JFBCLike url=http://www.facebook.com/pages/SourceCoast/141717952527296}

Now, obviously, you don't want to use this to trick users, so it's best to say "Like our FB Page" around it, or use the JFBCFan module which has more information about your FB Page. But, if you want just a simple like button, the JFBCLike or {JFBCLike..} tag should work well for you.

Hope that helps give you some ideas, but if you're looking for anything else, just let us know!