The kunyah (honorific title) of "Umm So-and-so" for a woman who has no children

Question:
Something was mentioned, and perhaps it is specific to the hadiths or other matters. Abu Bakr is more appropriate than the Umayyads in this regard, such as the one I know, may Allah be pleased with her. The question I know, may Allah be pleased with her, and she may have been truthful, may Allah be pleased with her.

Answer:
Aisha, may Allah be pleased with her, had no children. She was named Umm 'Abdillah after her nephew, the son of her sister, 'Abdullah ibn al-Zubayr, may Allah be pleased with him, because a maternal aunt is in the position of a mother. So she was given the kunyah of her sister's son, whose name was 'Abdullah ibn al-Zubayr. It is permissible for a person to take a kunyah even if he has no children; this is permissible. It is permissible to take the kunyah Abu So-and-so even if one has no children, and Umm So-and-so even if one has no children. This is permissible. Yes.