Josias may have come one one of the many ships that came over after the Mayflower on a ship that was part of the Winthrop Fleet. Some of those ships did not make or have surviving a passenger list. I checked Hotten's book as well as the Winthrop Fleet book and there was no Josias or Joshia listed in either of these books. Josias is listed in Dictionary of the Heads of New England Familes as a yeoman with a short splurb about him, but no mention as to his origin or on what ship he arrived. Most of the people listed in this book also do not state on what ship they arrived unless they were Mayflower passengers. It did say he had a will that left things to specific people, but no mention of Francis, which everyone has said he is not related, which is true according Roser's books which lists some of his children who married into the Hopkins' family and the first mention of this name in the Cooke silver book is as a son of Jacob which is clearly after the time period you are interested in. From these limited sources, there is nothing to indicate his parentage or where he came from. However, if he was born before 1620, then he probably came from England or Leiden, Holland, but if he was born after 1620, then he might have been born here. As I have no interest in the Cooke surname, yet, all I did was search in some of my personal references that I have in my own library. Sorry I couldn't be of more help, but keep on searching, someday you may find that kernel that will blossom into a full fledge family! Christie Trapp