As an English name, Zoe (sometimes with a diaeresis as Zoë) has only been in use since the 19th century. It has generally been more common among Eastern Christians (in various spellings).
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.
Already growing in popularity due to Australian model Elle Macpherson (1964-), this name received a boost in the United States after the release of the 2001 movie Legally Blonde featuring the main character Elle Woods. In the United Kingdom the name was already fairly common at the time the movie came out, and it actually started declining there shortly afterwards. A famous bearer is American actress Elle Fanning (1998-).
As an English name, Chloe has been in use since the Protestant Reformation. It started getting more popular in the 1980s in the United Kingdom and then the United States. It was the most popular name for girls in England and Wales from 1997 to 2002. This is one of the few English-language names that is often written with a diaeresis, as Chloë.
This name was fairly common in France, England and the United States in the early 20th century. It became quite popular in France and England at the end of the 20th century, just when it was at a low point in the United States. It quickly climbed the American charts and entered the top ten in 2014.