Michaelangelo, Leonardo da Vinci, Shakespeare himself wrote a play based on Henry and his wife anne bolyn
Play with them!
King Henry VIII
Henry VIII died quite a long time before Shakespeare was born, so he couldn't have asked Shakespeare anything. In fact, at the time Shakespeare wrote Henry VIII everyone in the play, including Elizabeth I, was dead.
Shakespeare wrote seven plays with "King Henry" in the title, and none of them are called King Henry VII.
Shakespeare (probably with the help of Fletcher) wrote a play about Henry VIII, who was the father of Elizabeth I. However, at the time the play was written, she was not the queen, having died some years earlier. Henry VIII was King James's great-uncle and was no relation to his consort Queen Anne.
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Henry VIII, also called All Is True, which he co-wrote with John Fletcher.
Henry VI is a history play thought by many to be Shakespeare's first. Henry VIII is a history play thought by some to be his last. Obviously he wrote history plays throughout his career.
Shakespeare wrote a whole bunch of history plays. The earliest, the three parts of Henry VI, were written before 1592. The last, Henry VIII, was written in 1613, over twenty years later.
No, Rugby was not around then.