Barbara Bush and both Presidents Bush are distant cousins of President Franklin Pierce (Pierce is Barbara Bush's maiden name.) None of President Pierce's children lived to maturity, so he has no living descendants, but that hasn't stopped the New York Times from repeatedly calling George W. Bush a descendant of Franklin Pierce.
In fact, George H. W. Bush is a 4th cousin, 7 times removed, of Benedict Arnold (so George W. Bush would be a 4th cousin, 8 times removed). As far as I know, the NYT has never tried to use that relationship against either of the Bushes--whether they don't know who Benedict Arnold was, or they think being a traitor is a positive recommendation.
>> 10th cousin is pretty remote. <<
Yep, when we say two persons are 10th cousins, it means they share at least one GGGGGGGGGgrandparent (nine “greats”).
But when you trace that far back, you have 2048 9th-great-grandparents (if we ignore the possibility of cousin marriages).
Given this huge number of ancestors, many of whom surely have millions of descendants alive today, I think it’s likely that just about any FReeper is a 10th cousin to thousands and thousands of other FReepers — not to mention being a cousin to at least a few POTI (or POTUSES, for you people in Rio Linda).