Unfortunately, there isn't any way you can trace your facebook likes, at least, that's what I believe as I've had a similar sort of experience when few of my videos got some crazy likes. What I did notice was whenever you post your videos to a specific page (Let's say a gaming promotion page on facebook), that will by default will be considered as a likes. Now, depending up on the number of time your video was shared or posted to such pages, the likes on TB extension represents that. By the look it seems that your video was either liked soo many times by Facebook users or was posted in several gaming pages.