Praise be to Allah.
This is the name ‘Aa’ishah, which is a good name. It is the name of one of the great Sahaabi women [the Sahaabah were the Companions of the Prophet (peace and blessings of Allaah be upon him) – Translator]. And this name is the name of the Mother of the Believers and of the most beloved to him of the wives of the Prophet (peace and blessings of Allaah be upon him), whose name was ‘Aa’ishah bint Abi Bakr al-Siddeeq (may Allaah be pleased with her).
And Allaah knows best.
The meaning of ‘Aa’ishah in Arabic is taken from the verb ‘aasha (to live, to be alive); ‘aysh means life. It is said in Arabic ‘a’aashahu Allaah ‘eesahatn raadiyan, meaning Allaah caused him to live a good life. The phrase rajul ‘aayish means a man who is in a good situation. The form ‘Aa’ishah is applied to women (i.e., it is the feminine form).
See Mukhtaar al-Sihaah, vol. 7, p. 195
Al-Qaamoos al-Muheet, vol. 1, p. 773