Sayyed Mohammad Al-Musawi, Sayyed Mohammad al-Musawi is originally from Iraq and heads up the World Ahlul Bayt Islamic League in London. Other than being involved in various humanitarian projects, he frequently responds to... Answered 2 months ago

No, we don't have any evidence suggesting double punishment or double reward just because of the name. We have evidence to treat those who are named Fatima nicely because of the greatness of the name of Fatima.

 In Kitab al-Kafi (6:48) it is narrated that Imam Jafar Al-Sadiq (AS) said: If you name your daughter as Fatima, you should never abuse her.

Wassalam.