Al-Zubayr bin Bakkar (may Allah have mercy on him) said: The eldest of the children of the Prophet (peace and blessings be upon him) was Sayyiduna al-Qasim (may Allah be pleased with him), then Sayyidah Zaynab (may Allah be pleased with her), then Sayyiduna Abdullah (may Allah be pleased with him), who was also called al-Tayyib and al-Tahir; he was born after the prophethood and died young. Then Sayyidah Umm Kulthum (may Allah be pleased with her), then Sayyidah Fatimah (may Allah be pleased with her), then Sayyidah Ruqayyah (may Allah be pleased with her), in this order. Sayyiduna al-Qasim (may Allah be pleased with him) died in Makkah, and then Sayyiduna Abdullah (may Allah be pleased with him) died.
Hadith Referenceالمعجم الكبير للطبراني / مسند النساء / 19190