I've had a pretty serious genealogy interest since 2010, and like most I went in hoping to find something interesting. I wasn't necessarily thinking a president or Royalty, just "interesting." But alas, as far as I can prove unequivocally, I come from a very modest background.
As a male, I do have special interest in my direct male descendant, and that line I have only been able to get back to 1765 with certainty. All farmers, all served in the wars of the time including the Revolutionary war.
Having done genealogy for 14 years now, I am very suspect of anyone that makes claims over 10 generations or so. I know from experience at that point, you are matching just a last name, maybe a first name, quite possibly with alternate spellings and other leaps of logic. Of course if you are descended from a long line of notable people, then that is easier.