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No, he wasn't. King Richard III was Richard, Duke of Gloucester before he became king. Richard, Duke of York was someboy else
Richard, Duke of York.
Richard Plantagenet, Duke of York and Cecily Neville, Duchess of York.
Yes, he is a member of the York Family. He was the eighth son of Richard Plantagenet, 3rd Duke of York, and Cecilly Neville.
I hope I answered the question. Thanks