Who is this Parson Brown, anyway?

I personally find the secular Christmas carol "Winter Wonderland" nothing short of mystifying (I can't help wondering if "In the meadow, we can build a snowman / and pretend that he is Parson Brown" is some sort of allegory involving that modern-day antipope who had himself elected, then appointed lay cardinals who "ordained" him bishop or something equally reciprocally nutty). But it does seem