Mujalid reports from al-Sha'bi (may Allah have mercy on him) that when Fatimah (may Allah be pleased with her) died, Ali (may Allah be pleased with him) buried her at night, and he took Abu Bakr al-Siddiq (may Allah be pleased with him) by the upper arms and put him forward for the funeral prayer.
This is how it was narrated with this chain, but what is correct is the following: Sayyidah Aishah (may Allah be pleased with her) states in the account of the inheritance that Fatimah (may Allah be pleased with her), the daughter of the Messenger of Allah (peace and blessings be upon him), lived for six months after him (peace and blessings be upon him). When she died, Ali (may Allah be pleased with him) buried her at night and did not inform Abu Bakr (may Allah be pleased with him), and Ali (may Allah be pleased with him) himself led the funeral prayer over her.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الجنائز / 6896