Fatema is a variation on the name Fatima, a feminine name of different origins. It can be found as an Arabic name meaning 'Chaste', and is the name of a daughter of the prophet Muhammad. It is also found used in Christianity where 'our Lady of Fatima' is sometimes used to refer to the Virgin Mary.
Bushra is an Arabic feminine given name meaning "good news or omen". Variants include the Turkish Büşra, which was among the top five names given to girls born in Turkey in the last decade.