There are many questions that have yet to be satisfactorily answered about Dutch ships and captains during the First Anglo-Dutch War. I have been looking at my notes from the "Staet van Oorlogh te Water voor den Jaere 1654" that contributed largely to Vreugdenhil's part of Lists of Men of War. The first ship is the Amsterdam ship Achilles. We know the dimensions, in Amsterdam feet and that the ship carried 30-40 guns. What we don't know is what role this ship played in the First Anglo-Dutch War. Apparently, she still existed in 1654, but was about to be discarded, as she was gone by 1655.
What we believe was the other Amsterdam ship named Achilles was noted in lists and accounts of the First Anglo-Dutch War. The "other" Achilles doesn't appear in Dr. Elias' book, Schetsen uit de Geschiedenis van ons Zeewezen, and hardly appears in The First Dutch War. I had wondered if the two ships might have been confused, but the ship that appears in The First Dutch War is clearly the other ship, which was the smaller of the two. Dirck Schey was her captain.
This is what was listed in the manuscript, which is not very useful.
Admiralty: Amsterdam
Ship: Achilles
Date:
Captain:
Guns:
Length: 131 feet
Beam: 29 feet
Hold: 13 feet
Brass Guns:
Iron Guns: