If anyone is related to a Mayflower Pilgrim, then they're probably related to about a dozen pilgrim families.
After the first winter, where half of them died, most of the rest of the survivors married each other as a matter of convenience and survival.
I am related to 14 of the Mayflower survivors, including William Bradford. I have seen the local church documents showing his great granddaughter Jerusha Bradford marrying my grandmother's great grandfather Edward Sparrow in 1745 in the same church my family goes to.
BTW, Bradford is a direct descendant of King John of England, who was the son of King Henry II and Queen Eleanor of Aquitaine or France. John was brother to Richard the Lionhearted. Eleanor and her two boys had Henry killed so Richard would be King. Nice family I come from.
So since he is descended from royalty, so am I. You can all address me as Your Highness from now on.
I'm also related to Lavinia Warren Bump, the midget lady who married "General Tom "Thumb" of PT Barnum fame. The 'small gene' is apparently still in the family as I have a cousin who is very small, even though I'm 6'3