It was actually written on the billboard on the back from an article "the burning man walks" so it might be the cameo of the hanged man or somthing to do with the burning man festival in the Nevada desert.
Considering that there's a Caeser's Legion character who gets his jollies from burning people alive, it's more likely the former. Besides the Burning Man festival was established in the mid 80s and may not have existed in the Fallout world.
As for Dogmeat, I'm glad he's not in the game, and honestly I hope he's not in any other future Fallout games either.