Is it true that the Prophet, peace and blessings be upon him, gave Fatimah, may Allah be pleased with her, the title "Umm Abiha" (Mother of Her Father)?

A number of biographers and historians, among them al-Tabarani, al-Dhahabi, and Ibn Hajar, have explicitly stated that Fatimah, may Allah be pleased with her, was known by the kunyah (agnomen) "Umm Abiha" (the mother of her father). Assuming this kunyah is authentically attributed to her, there is no sound evidence to indicate who gave her this kunyah, nor is it confirmed that the Prophet, peace and blessings be upon him, was the one who chose this kunyah for her.