Isla (/ˈaɪlə/ EYE-lə) is a feminine given name traditionally of primarily Scottish usage, derived from  Islay , which is the name of an island off the west coast of Scotland.It is also the name of two Scottish rivers.It was the fifth most popular name for baby girls born in Scotland in 2010 and the 70th most popular name for girls born in England and Wales in 2007.t is also the name of two Scottish rivers. It was the fifth most popular name for baby girls born in Scotland in 2010 and the 70th most popular name for girls born in England and Wales in 2007.