I tried to find info on google but no luck.
Wiki has a decent article on it. The French, English, Portuguese, Dutch and Spanish pretty much always had the same kind of war ship. Each of course always tried to come up with something new, but once one of them did, the others would adopt it or even make it better. The Galleon was just an advancement on prior ship designs and a very good one. So other countries adopted it as there own. The English would be the next ones to advance, making their Galleons longer with lower poop decks, which made them faster.