Research Idea? Where do I look next?

In the 1600's, there were no Mormons, so you might have to branch out. Most vital records were kept in Protestant churches, and many have been transcribed on the web. Google all of the names on your list and see what happens. Try each name with "birth" or "death" or "marriage" or something else that would point to what you're looking for, like the names of towns.