This name has been used occasionally in England since the 12th century. It was not common in the English-speaking world until the end of the 20th century.
Despite this potentially negative association, the name was occasionally used by Christians during the Middle Ages. In the English-speaking world both Eve and the Latin form Eva were revived in the 19th century, with the latter being more common.
As an English name it has been in use since the Middle Ages, originally in the form Clare, though the Latinate spelling Clara overtook it in the 19th century and became very popular. It declined through most of the 20th century (being eclipsed by the French form Claire in English-speaking countries), though it has since recovered somewhat.