Stanislaw August Poniatowski was romantically involved with Catherine Alexeievna (Catherine the Great). Through her influence, Stanislaw was elected the king of Poland in 1764.
While I believe there's enough evidence to prove that Stanislaw was not a direct ancestor of ML, if one were to go back in history far enough, perhaps one could prove that he is a distant cousin, many times removed. I don't imagine I'll be able to conclude definitively one way or another, but it is a fun connection to ponder.