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.
(..) I want this, and I want it with you. I want you to have everything you want, all of it. I'm just not sure how to reconcile this... Would you tell a blind man he couldn't have children? You be a father for as long as you can. I know the consequences. (..)2008 The Curious Case of Benjamin Button