From the experts:
This still attractive and exotic place name was one of the first to gain popularity, though it now probably owes some of its favor to the similar Aisha. Asia ranked as high as Number 195 on the US baby names popularity list in 1997.
In Greek myth, Asia is the daughter of Oceanus and Tethys and mother of, among others, Atlas and Prometheus.
One of the best known modern bearers of the name is Italian actress, singer, and director Asia Argento, who is probably responsible for its popularity in Italy, where it ranks Number 35. Asia Monet Ray is a dancer featured on the hit television shows Dance Moms and Abby's Ultimate Dance Competition.