You mean who clicks the Facebook: Recommend ? Mr_Bob, deadbydawn, araj1971 and 12 others like this - or this ? If you click 12 others, you get the entire list of likes.
This is what I see on my pageView attachment 13237
There are no names. I'm guessing because the people that liked the page were not members? Still, I would think the info would be invaluable.
I think it depends on which Like box script you use. So it might be easily possible.
DD, lol... I do have a FB page that won't help. FYI - Right now I just manually add a link to a thread I want to highlight on my FB Page. It works good.
Facebook APP ID and User/Admin ID are two different things.
You can still have the like button without enabling the FB Authentication feature(leave the APP ID and APP Secret fields blank).
But you do need the User/profile/admin ID to be able to administer/manage the pages generated by the FB like button.
ACP>Facebook Int.>Facebook Page Admins
Enter your profile ID in that field.