parson's nose vs pope's nose

parson's nose and pope's nose both are nouns.

Word	Noun	Adjective	Verb	Adverb
parson's nose	Yes	No	No	No
pope's nose	Yes	No	No	No

As nouns, parson's nose and pope's nose are synonyms defined as:

parson's nose (noun)	pope's nose (noun)
the tail of a dressed fowl	the tail of a dressed fowl