Stacey is a shortening for the Greek name Anastasia, meaning; Rebirth, resurrection, etc. Staceys tend to be beautiful, geeky, and eccentric girls.She's not too flashy, not too preppy.tacey is a shortening for the Greek name Anastasia, meaning; Rebirth, resurrection, etc. Staceys tend to be beautiful, geeky, and eccentric girls. She's not too flashy, not too preppy.