How can I add a button that displays the actual link to the photo? example: a button that goes to http://www.mysite.com/coppermine/albums/userpics/picture.jpg, but goes to the specific picture on that page.
I'm not sure i described this well.
Have a look at the bbcode plugin. It displays the URL to the fullsized pic below the intermediate image. You can modify it to show a button instead of a textarea (html knowledge required).
http://forum.coppermine-gallery.net/index.php?topic=36302.0