I'm afraid her story cannot be 'reconciled' with the proven facts. [=her story must be false because it does not agree with the proven facts]
After many years, they 'are' finally 'reconciled' (with each other). [=they are friendly again]
His attempt to 'reconcile' his friends (with each other) was unsuccessful.
(..) Sherman! Oh! Hey! Where did the other two go? Our cosmic doubles combined in order to reconcile a paradox... in the space-time continuum. Okay, that makes sense. I don't know what just happened here... but I know it was wrong! (..)2014 Mr. Peabody & Sherman