I never realized it, but the other refrigerator was kind of small...I have TONS of room in my new one!
After close to an hour of trying to figure out where this was coming from, Brant realized that the water line to the refrigerator didn't fit properly and water was slowly leaking into the WALL and out through the baseboards! Needless to say, we spent the evening soaking up as much water as possible. We put a fan on it overnight to dry the padding. It was still a bit damp this morning, but at least it wasn't soaking wet like it was last night!
Moral of the story...maybe it was worth $60 to have the professionals do this!!!