This tradition has been narrated by ‘Abd Al Rahman bin Abi Laila through a different chain of narrators. This version has “He decided that she would be given to Ja’far and said “Her maternal aunt is with him(i.e., his wife).
Sunan Abi Dawud Book 13, Hadith 105
← Previous Hadith Zayd ibn Harithah went out to Mecca and brought the daughter of Hamzah with him. Then Ja'far said: I shall take her; I have more right to her; she is my uncle's daughter and her maternal aunt is my wife; the maternal aunt is like mother. Ali said: I am more entitled to take her. She is my uncle's daughter. The daughter of the Messenger of Allah (ﷺ) is my wife, and she has more right to her. Zayd said: I have more right to her. I went out and journeyed to her, and brought her with me. The Prophet (ﷺ) came out.

The narrator mentioned the rest of the tradition. He (i.e. the Prophet) said: As for the girl, I decided in favour of Ja'far. She will live with her maternal aunt. The maternal aunt is like mother.

Sunan Abi Dawud Book 13, Hadith 104 Next Hadith → When we came out from Mecca, Hamzah's daughter pursued us crying: My uncle. Ali lifted her and took her by the hand. (Addressing Fatimah he said:) Take your uncle's daughter. She then lifted her. The narrator then transmitted the rest of the tradition. Ja'far said: She is my uncle's daughter. Her maternal aunt is my wife. The Prophet (ﷺ) decided in favour of her maternal aunt, and said: The maternal aunt is like mother.

Sunan Abi Dawud Book 13, Hadith 106