I tried inserting the FB Like code from this thread into a site and it appears fine. However, there's a PHP error when you try to confirm it.

This is the URL it tries to confirm a Like for:

http://invalid.invalid/?php%20echo%20$URI;%20?

I copied the exact code and put it in a footer widget.

<?php $Path=$_SERVER['REQUEST_URI']; $URI='http://www.yuliapink.com'.$Path; ?>
<iframe src="http://www.facebook.com/plugins/like.php?href=<?php echo $URI; ?>&layout=button_count&show_faces=false&width=450&action=like&colorscheme=light&height=21" scrolling="no" frameborder="0" style="border:none; overflow:hidden; width:80px; height:21px; padding-top:10px; margin-bottom:-10px;" allowTransparency="true"></iframe>

I know widgets sometimes get goofy with PHP. Could that be an issue? I can hard-code it if that makes a difference.

For what it's worth, I got the same issue using the ShareThis plugin and putting the code into a footer widget.

What kind of widget? If it was a text widget, do you have a plugin like exec-php?

Yes, text widget and that plugin did the trick. I knew you needed one for shortcode, and now I know you need one for hard-coded PHP too.