Looking at the photo with my Adobe software, it appears that the coin was lying on something NOT a coin. I've seen this type of thing before, when someone (normally a kid) is trying to make a necklace or ring out of a coin. Why use a penny is beyond me! Normally they would use a quarter! Then 'spoon' it into a ring.
Well, whatever it was laying on left a very clear impression offset of a Lincoln Memorial Cent. The Memorial is clear as a bell as well as the lettering of the coin. Try flipping the image and see if I am correct.
Chris, I laid a Memorial cent upside down over the pic to try and get the orientation. The diagonal line of the N that we see is the N adjacent to the T is my guess. It seems to lie right ? But I am not going to smash a couple together to check it out LOL. I got ribs on the grill !
I guess that maybe a piece of debris was between the cents and made the mark, maybe ? Obviously it wasn't done in a controlled environment. Still the imprint of the Memorial seems quite evident. Then again, it might not be the Memorial. Personally, I will go for "it got hit the first time and bounced off. Because the first tap was on an angle only the rim and a minor impression of the lettering was made. When the coin was placed on the other one the second time, it fit right in the grooves made by the rim on the first strike. The next strike was the hard one that imprinted the Memorial so deeply. Just a thought.