Rumoured Engagement Of Princess Elizabeth Of Great Britain -- Prince Philip of Greece, photographed in London.Rumours of the engagement of Princess Elizabeth, here apparent to the British throne, and Prince Philip of Greece are current in circles to Buckingham Palace. Princess Elizabeth is 20 years old on April 21st. Prince Philip of Greece, who was born in June 1921 at Corfu, has spent most of his life in England. He is the only son of the late Prince Andrew of Greece and his wife, formerly Princess Alice of Battenberg. He has four sisters. prince Philip has been serving in the royal navy as aide-de-camp and Princess Elizabeth are great-great-grandchildren of Queen Victoria. April 1, 1946.