Are the hadiths, "Indeed, Allah is pleased for the pleasure of Fatimah and angered by her anger," and "I named her Fatimah because Allah has weaned her and her followers from the Fire," authentic?

The two aforementioned hadiths concerning Sayyida Fatima al-Zahra cannot be authentically attributed to the Prophet, peace and blessings be upon him. The first hadith, "Indeed, Allah becomes angry for your anger and pleased for your pleasure," was narrated by Al-Hakim and contains a narrator whose hadith is denounced. The second hadith, regarding her being named Al-Mansurah (the victorious) and Fatima because she weans her followers from hellfire, is fabricated and a lie; for Fatima was born before the Prophethood. What has been authentically narrated regarding her virtues suffices, such as the Prophet's saying, "Fatima is a part of me, whoever angers her angers me," and "Indeed, Fatima is a part of me, what harms her harms me," and her being the master of the women of Paradise.