Is Satan's name Lucifer, Satanail, or Samuel?

In a few different English versions of the Bible, Isaiah 14:12 begins with something like: > How art thou fallen from heaven, O Lucifer, son of the morning! (KJV) I thought, however, that Jesus was son of the morning. Does anyone think this Isaiah passage was translated incorrectly, and that maybe it should be "son of *mourning*" instead of "son of the morning"? What about Satanail (or *Satanial*?), or Samuel? Is either one of *these* more properly Satan's name?