Adding This Little Girl To Your Family Is Sure To Be Like A Dream Come True. Ashleen, As A Girls Name, Is Of Irish Origin, And Means "dream." Ashleen Is A Variant Of The Irish And Gaelic Name Ashlynn, Which Comes From The Original Irish Spelling Aisling. While The Similar-sounding Name Ashley Is An Ever-popular Name In The US, Naming Baby Ashleen Can Help Them Stand Out In The Best Way. As Well As This, It Also Makes For A Fitting Name For Those Who Want To Connect Baby To Irish Roots In The Family.