The name stacey is of greek origin and is derived from the name eustace, meaning fruitful or productive. it is a unisex name that gained popularity in the english-speaking world during the 20th Ò€¦ The name stacey is a variant of the name stacy, which is derived from the greek name eustace, meaning fruitful or productive. the name has roots in ancient greek and has been used in various Ò€¦ What does stacey mean?