Eustace \e(u)-sta-ce, eus-tace\ as a boy's name is pronounced YOO-stiss. It is of Greek origin, and the meaning of Eustace is "good grapes; to stand". Old French form of the Greek names Eustakhios and Eustathios. According to legend, Saint Eustace (second century) was a Roman general who was converted and martyred. Brought to Britain with the Norman conquest. The surnames Stacey and Stacy come from Eustace.