Massa Early Origins. PDF Coat of Arms. + Extended History. The surname Massa was first found in Savoy (French: Savoie) in the Rhne-Alpes region of the French Alps, where this celebrated family has held a family seat from ancient times. Spelling variations of this family name include: Masse, Masses, Massey, Massait, Massaie, Massaies, Mass, Masser, Masse and many more.