In Britain the parallel form Alice, derived via Old French, has historically been more common than Adelaide, though this form did gain some currency in the 19th century due to the popularity of the German-born wife of King William IV, for whom the city of Adelaide in Australia was named in 1836.
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).