MARC M COHEN
There is a ready-to-hand explanation for your Italian/Greek/Ashkenazy mix. It applies to my family as well: Romitic Jews who lived for centuries in Greece.
Romitic Jews migrated to Italy during the Roman Empire. During the era of the crusades and other persecutions by the church, many of the Romitic Jews moved to Greece to seek shelter in the Turkish Empire, which was far more tolerant of diverse religious beliefs.
This part of my mother's family, the Chomitz/Hametz family lived in Ionnina (Jannina), a town on an island in a lake in NW Greece, or so I believe. One of the Chomitz clan migrated to Kiev in the late 17th or early 18th century, I imagine.
Hope this explanation helps,
Marc M. Cohen, Los Gatos, California, USA
BARAK/CANTORCZY: Khotin, Bessarabia; Strorozhinets, Bukovina, Ukraine
CHOMITZ/HAMETZ: Ionina (Janina), Greece; Ignatovka, Ukraine; Kiev Gubernia, Ukraine
COHEN: Dinovitsi (Dunayevtsy) Ukraine; Roman/Tirgu Frumos, Romania
KORNITZKY: Kiev Gubernia, Stepnitz/Stepantsy, Ukraine
RÎBNER: Storozhinetz, Costesti (Costyntsi), Drachinets, Cabesti, Bukovina, Ukraine
ROSENBERG: Tirgu Frumos, Roman, Romania; ISRAEL
WEININGER: Cabesti, Costesti, Drachinets, Czernowitz, Bukovina, Ukraine