Mass. Adonijah and his six sons all served in the Continental Army during the Revolutionary War. We have no idea how well documented the linkage of my stepdad's family was to a Mayflower passenger, and tracing this genealogy is on my list of projects. Unfortunately, for my half siblings, it doesn't rank very high on my list of genealogical priorities. But it will be fun to get my feet wet on Mayflower research one day. Checking our link to the Mayflower may be either embarrassingly easy or impossible.
Mayflower genealogy is fraught with problems.
Here you can gain a quick background on what will be involved in your search. Rules for documenting Mayflower heritage are stringent. Proof is required. No sloppy genealogizing allowed here. Notwithstanding that there are an estimated 35 million living descendants of Mayflower passengers, be forewarned, it isn't easy joining the 24,500-plus members of the General Society of Mayflower Descendants.