Grading: This hadith is "extremely munkar" (munkar jiddan), and its chain is "da'if" because of the weakness of Isma'il bin 'Amr al-Bajali. He was weak and had munkar and gharib narrations. This report is also narrated from him with another chain whose condition is "worse" than this. Al-Dhahabi said in his "Talkhis": "This is a munkar statement; the heart testifies that it is fabricated (mawdu')."

Reference / Source: The author (al-Hakim) recorded it in "Fada'il Fatimah" (59) and Ibn 'Asakir in "Tarikh Dimashq" (14/ 169) via 'Ubayd Allah bin Muhammad al-'A'ishi al-Taymi, from Isma'il bin 'Amr al-Bajali, with this chain.

Reference / Source: Ibn al-A'rabi in his "Mu'jam" (575), Abu Bakr al-Qati'i in his additions to "Fada'il al-Sahabah" (1068), al-Tha'labi in his "Tafsir" (8/ 311) and Ibn 'Asakir (14/ 169) narrated something similar via 'Ubayd Allah bin Muhammad al-'A'ishi, from Isma'il bin 'Amr al-Bajali, from 'Umar bin Musa al-Wajihi, from Zayd bin 'Ali bin al-Husayn, from his father, from his grandfather al-Husayn, from 'Ali (may Allah be pleased with him). But in it 'Ali is mentioned instead of Fatimah.
Criticism (jarh): 'Umar bin Musa al-Wajihi is "matruk" and accused of fabricating hadith, and the two men who took this hadith from al-'A'ishi are "very weak": Muhammad bin Yunus al-Kudaymi and Muhammad bin Zakariyya al-Ghalabi.