Edward Tudor was the supposed son of Henry VII

Henry VII of England

Henry VII was King of England and Lord of Ireland from his seizing the crown on 22 August 1485 until his death on 21 April 1509, as the first monarch of the House of Tudor....

 and Elizabeth of York

Elizabeth of York

Elizabeth of York was Queen consort of England as spouse of King Henry VII from 1486 until 1503, and mother of King Henry VIII of England....

. It is most likely that he was born towards the beginning of the marriage (1487 or 1488) or towards the end of it (1498–1501).
However it is also thought that the name of "Edward" is mistaken with that of Henry VII and Elizabeth of York's youngest son Edmund Tudor, Duke of Somerset

Edmund Tudor, Duke of Somerset

Edmund Tudor, Duke of Somerset was the sixth child of Henry VII of England and Elizabeth of York.Edmund's elder siblings were Arthur, Prince of Wales, Margaret, queen consort of Scotland, Henry VIII of England, Elizabeth and Mary, Queen consort of France...

who was born in 1499 and died 1 year later in 1500.