"The term 'Syrophoenician' [(Συροφοινίκισσα, Syrophoinikissa)] indicates that this woman was from Phoenicia, located in the Roman province of Syria, or, more specifically, from the area of the old cities of Tyre and Sidon."
The HarperCollins Bible dictionary, rev. ed. (San Francisco: HarperSanFrancisco, HarperCollins, 1996), s.v. Syrophoenician, by Philip L. Shuler.