John Harvard did not found Harvard University!?

In 1636 The general court of Mass. ordered that a school be established at Newetowne, later renamed Cambridge, after Cambridge University in England, where many of the colonists had studied. In 1638, John Harvard, a young Puritan minister from Charlestown, died of tuberculosis, leaving half his estate and his collection of more than 400 books to the school, prompting the court to rename the new college after him.


True or false

John Harvard did not found Harvard University!?
True to an extent. Harvard is named after John Harvard, but I can find no information about the renaming being court-ordered rather than voluntarily done by the school itself.