Were Asma bint Abi Bakr and the mother of Aisha given glad tidings of Paradise?

Abu Bakr Al-Siddiq and Aisha —may Allah be pleased with them both— were given glad tidings of Paradise through authentic texts.

As for Asma bint Abi Bakr —may Allah be pleased with her— her virtues are immense, and the honor of being named "Dhatun-Nitaqayn" (Bearer of the Two Waist-Wrappers) for her service to the Prophet, peace and blessings be upon him, during the Hijrah (migration), suffices her. However, no specific authentic hadith has been reported giving her glad tidings of Paradise.

Regarding Umm Ruman, the mother of Aisha —may Allah be pleased with them both— she was among the early converts to Islam. A weak, mursal hadith has been reported concerning her receiving glad tidings of Paradise, but the hadith is not authentic due to its weakness and being mursal (lacking a complete chain of narration back to the Prophet).