Fridge Water Line Leaking
I got down there and did some further digging and research.  Come to find out it was the plastic tubing that provides water internally to my fridge that was leaking where it connects to the piece in the image in my OP.

Fortunately, the plastic water line was only attached by a tension ring (apply some pressure and pull the line out) and I removed the water line, provided a new clean cut, and reattached and everything is fine and dandy again.