Parson Brown

According to Urban Dictionary, "'Parson Brown' is the term used to talk about a typical [Anglican] priest of the eighteenth and nineteenth centuries. 'Parson Brown' is not an actual person (though he might have been at some time), but a figure of speech, similar to 'John Doe.'"

https://nbc25news.com/news/offbeat/who-is-parson-brown-in-song-winter-wonderland

https://www.smoothradio.com/features/christmas/winter-wonderland-lyrics-parson-brown/