Why is that part of a fowl which covers it's 'nether parts' aka a***e called the parson's nose

The phrase "parson's nose", from the notion that an English parson may 'have his nose in the air', upturned like the chicken's rear end. The term must have been known as early as around 1400 AD, when a carpenter had been contracted to provide new choir stalls for St Mary's Church, Nantwich The vicar was either slow to pay the artisan, or did not pay at all. In retaliation, on the last misericord in the stalls, the carpenter carved a bird with an image of that Vicar's face with protuberant nose at rump. The carving is still visible today and featured on a postcard on sale at the church.