Allert Jansz Tamessen and his two sons

Carl Stapel has been telling me more about a Noorderkwartier captain Allert Jansz Tamessen and his two sons, Pieter Allertszoon and Claes Allertszoon. I can't give away details, but I already know a good bit about the men. The First Dutch War confuses Allert Jansz Tamessen, of the Admiralty of the Noorderkwartier and Allert Janszoon, captain of the Vlissingen Directors' ship Arend. Pieter Allertszoon, son of Allert Jansz Tamessen, commanded the ship Hoorn at the Battle of Dover on 29 May 1652 up to the Three Days Battle in early 1653, when he was killed. Claes Allertszoon, his brother, had commanded the Nieuw Casteel (14 guns) in 1652. He was appointed to command the Hoorn, after his brother's death. He appears in Witte de With's journal as captain of the Hoorn from May 1653 up to the voyage to Norway from September to November 1653. An oddity is that the old spelling of Hoorn was Hooren. The journal and a document from February 1653 spell the name that way.