I had not realized it, but we know the captain of the ship, Gerechtigheid, which belonged to the Amsterdam Chamber of the VOC. The Gerechtigheid took part in the Battle of the Gabbard and the Battle of Scheveningen.
As early as April 17, 1653 (new style), the Gerechtigheid was with Witte de With, when his squadron sailed.
We know the captain's name from Dr. Elias book, Schetsen uit de Geschiedenis van ons Zeewezen, volumes V and VI, and from Vol.IV of The First Dutch War, p.323.