The Dutch ship Prins in 1653

There are references in the published literature to a ship named Prins in 1653. The ship was hired by the Rotterdam Directors. I believe that the ship mentioned is the shi that Michael Robinson, in the Van de Velde Paintings book, called the Prins te Paard. Up until the Battle of Portland, the Prins te Paard was commanded by Corstiaen Corstiaenszoon. He was killed in the battle. After that, the ship was commanded by Jacob Cleijdijck. His original ship, the Meerman, was sunk at Portland. He was given the Prins te Paard after that.