Ahh . . . York is a PLACE. The Duke was named after the place. NEW York was named after the OLD York across the pond.
Incorrect. That's a common misperception.
New York was, in fact, named after the Duke Of York (the future King James II), the prominent slave trader, after the Duke of York's Charter in 1664.
More of the history...
Duke of York's Charter, 1664
"Charter granting the colony of New York to James, Duke of York, from his brother King Charles II, 1664."
http://www.archives.nysed.gov/education/duke-yorks-charter-1664
James, Duke of York - James II, King of England
"James, younger son of King Charles I of England, held the title of Duke of York. He was born on October 14, 1633 and, during the English civil war, was captured by forces opposed to the monarchy. James escaped to continental Europe where he distinguished himself as a soldier and, when his elder brother Charles II was restored to the throne, he returned to England and was appointed commander of the Royal Navy. Against the backdrop of the Anglo-Dutch wars, Charles asserted England’s claim to New Netherland by granting James a patent to the colony. James sent a fleet under the command of Richard Nicoll, the Dutch surrendered, English rule was established and the colony was renamed New York."
https://history.nycourts.gov/figure/james-duke-york/