A comment earlier questioned a relationship. Specifically, the question was if you are a direct descendant of a Mayflower passenger and thus his ancestral line, are you also related to the spouses line. The answer in my opinion is yes. Just as you are related to both of your grandparents, those relationships continue as long as it's a direct line and not a collateral line.
As a professional researcher as well as the State Registrar for the Massachusetts CAR, I wanted to prove at least one line for the experience in order to assist others who had interest. John Howland was my first target for entry into the GSMD. However, the research was too sketchy as 3 generation lived in upstate New York on the early- to mid-19th century. Vital and any other type of records are scarce at best.
Finally, I was admitted as a descendant of William Brewster along with my daughter. Soon we'll be applying to admit my grandchildren. There are a few others that I can research including Edward Fuller, Samuel Fuller and if I can ever prove John Howland, the Tilley line.