This name has been used in the English-speaking world since the Protestant Reformation. In America it received a boost in popularity after the birth of Esther Cleveland (1893-1980), the daughter of President Grover Cleveland [1].
This is the usual form of the name Elizabeth in Spain and Portugal, though elsewhere it is considered a parallel name, such as in France where it is used alongside Élisabeth. The name was borne by two Spanish ruling queens, including Isabel of Castile, who sponsored the explorations of Christopher Columbus.
As an English name it did not become common until after the Protestant Reformation, despite a handful of early examples during the Middle Ages. It was however used earlier on the European continent, being borne by several European royals, such as the 9th-century Judith of Bavaria.