The name Rita is a girl's name of Hindi origin meaning "pearl". Rita and is often added to lists like Unique Vintage Names for Girls and discussed in our forums with posts like "Adding Then Eliminating -- Girls Themed".
From the experts:
One of the glamour girl names of the Rita Hayworth 1940s, Rita was once a Top 50 name and stayed on the SSA list until 2002. It still has enough Latin zip to be a lively, revivable short form of Margarita. Other namesakes include Puerto Rican actress/singer Rita Moreno (born Rosa), poet Rita Dove and novelist Rita Mae Brown. Rita Skeeter is a Harry Potter character.