I am not sure where my images went, but I uploaded them again. I also looked at them full-sized trying to see any indications of where the oil is originating. I think that I need to clean it better and also look from above. The rings or discs in the oil cooler had oil all over--I am not sure the oil is supposed to be on the outside!
Ah! I finally found a picture! Okay, the oil cooler is directly below the cylinder head! So, either the head gasket is leaking, or something is leaking onto it!
Well, good thing I spent hours figuring out all of that. It is nearly five! I should go to bed!