Cleopatra was a fictional character from one of William Shakespeare's dramas. She had a love affair with the dictator Julius Caesar.
When Captain James Kirk was giving Lenore Karidian a tour of the USS Enterprise, as they were getting to know each other, she said, The Caesar of the stars and Cleopatra to worship him. (TOS: "The Conscience of the King")
The character of Cleopatra was from the tragedy Antony and Cleopatra. She was based on a historical figure, Cleopatra VII, who ruled Egypt in the first century BCE.