Mitchell was also one of the first women elected to the American Philosophical Society (1869, at the same meeting Mary Somerville and Elizabeth Cabot Agassiz were elected).
Mitchell aynı zamanda 1869’da Amerikan Felsefe Topluluğu’na (American Philosophical Society)seçilen ilk kadındır (ki aynı toplantıda Mary Somerville ve Elizabeth Cabot Agassiz de seçilmiştir).