Hephaestus vs Vulcan

Is Vulcan the same as Hephaestus? In myth, yes — Ovid's "son of Juno" forges the net for Mars and Venus as Homer's Hephaestus does for Ares, and Virgil's Vulcan forges Aeneas's shield as Hephaestus forged Achilles's. In place and cult, no — Virgil moves the forge from Lemnos to Sicily, makes Cacus Vulcan's son, and Livy's Romans burn enemy spoils to Vulcan.