Grey-headed bullfinch (Pyrrhula erythaca), Gray-headed bullfinch, or Beavan's Bullfinch

The Grey-headed bullfinch (Pyrrhula erythaca) is a species of finch in the family Fringillidae.

Fringillidae, Fringilla: Latin fringilla for finch.
Pyrrhula comes from the Greek word pyrrhoulas (πυρρούλας), meaning "worm-eating bird" or a "flame-colored bird". This name was given by Aristotle to a small, reddish bird he identified, though the bullfinch it refers to is actually mostly vegetarian. 
The specific epithet erythaca comes from the Ancient Greek eruthros meaning "red".
The term "erythaca" itself comes from the Ancient Greek word erithakos, meaning "red breast", likely referring to a robin or a red-breasted bird.