Demeter vs Ceres

Is Ceres the same as Demeter? In myth, yes — Ovid's Ceres searches the world for Proserpine and withholds the crops exactly as the Homeric Hymn's Demeter does for Persephone. In usage, no — Virgil's Dido sacrifices to "law-bestowing Ceres", and in Latin "Ceres' gift" simply means bread; Ovid also gives Ceres the story of Erysichthon, which no Greek text here tells.