Another question about 1665

Another question about 1665: there were ships named Hoorn and Eenhoorn in service in 1665 and which fought in the Battle of Lowestoft. There is every reason to think that the Eenhoorn built in 1625 had been discarded sometime after 1655. Still, a ships named Hoorn or Eenhoorn in 1665 had dimensions approximating the dimensions of the ship from 1625. The ship Hoorn, which served in the First Anglo-Dutch War, as well, was 120ft long and carried a main battery of 8pdr guns. The larger ship carried a mixed armament of varying from 12pdr down to 3 or 4pdr guns. No other ship with a similar name is mentioned from 1652 to 1655. I am tempted to think that it was the larger ship that was called Eenhoorn in 1665 and the smaller ship was called the Hoorn. The commander of the Hoorn was none other than the veteran of the First Anglo-Dutch War, Claes Cornelisz Hen (or Valehen). There is a gun list, pretty modest, for the Hoorn, while we lack a similar list for the Eenhoorn. If we had one, we might be better able to understand the situation in 1665. We also might be in better shape, analytically, if we knew about one or more other ships named Hoorn or Eenhoorn for the Admiralty of the Noorderkwartier.