In Tolkien's lore, they are many very old beings. Is there any indication that some or even one would have been truly immortal and survived into what we would call "our" history or Age? Galadriel, Cirdan, Ingwe, Bombadil, Ungoliant, or any Maia or Ainur? Anyone or anything? Seems there must be some kind of carry-over seeing as how "man" existed in this time.
I apologize in advance for my ignorance.
