'Person' comes from Latin 'persona' (mask) — identity was born from theater. 'Parson' is its long-lost twin.
An individual human being; a character in a play or narrative; (in grammar) one of three categories indicating the speaker, the addressee, or a third party.
From Old French 'persone,' from Latin 'persōna,' originally meaning 'a mask worn by an actor,' then 'a character in a play,' then 'a role in life,' and finally 'an individual human being.' The ultimate origin of 'persōna' is debated: it may derive from Etruscan 'phersu' (a masked figure depicted in Etruscan tomb paintings), or from Latin 'per-' (through) and 'sonāre' (to sound) — the mask through which an actor's voice sounded. The Etruscan theory is now generally preferred
The English word 'parson' (a clergyman) is actually a doublet of 'person' — both come from Latin 'persōna,' but 'parson' entered through a different path, from the medieval Latin legal phrase 'persōna ecclēsiae' (the person of the church), meaning the individual who legally embodied the parish.