The supposition that the cups on large boulders and small sandstone grinders may alike be referred to the manipulations of the stone tool-maker, leaves the more elaborate accompaniments of concentric rings and linear devices unaccounted for; though it seems to me less improbable that these additions—which are thus found among other traces of the Cherokees and Shawnees of the new world, as well as amid the remains of Europe’s prehistoric races,—may be no more than supplements of an idle fancy added to the hollows which originated in the needful grinding of flint and stone implements into their required forms, than that they are mysterious religious symbols. Yet there is a fascination in the idea that they are “archæological enigmas”: Phœnician, Mithraic, Sabean, or Druidical; “lapidary hieroglyphics and symbols,” as Sir J. Y. Simpson assumes, “the key to whose mysterious import has been lost, and probably may never be regained.”[42] “They are,” he again says, “too decidedly ‘things of the past’ for even the most traditional of human races to have retained the slightest recollection of them”; and, as in his attempt to determine the race to which to refer them he follows up the glimpses of their occurrence beyond the British Isles, he asks: “Are they common in countries which the Celtic race never reached? still more, are they to be found in the lands of the Lap, Finlander, or Basque, which apparently neither the Celt nor any other Aryan ever occupied? Do they appear in Asia within the bounds of the Aryan or Semitic races? Or can they be traced in Africa, or in any localities belonging to the Hamitic branches of mankind? Do they exist upon the stones or rocks of America or Polynesia?”[43] If my theory is correct, they may be looked for in all. It is with tender memories of a dearly valued friend that I render the response, that such sculptured cups do exist upon the stones and rocks of America, and amply justify the reference of those of the Old World to Europe’s neolithic age, when the men of its polished Stone Period were grinding and working into perfected form the most prized relics of their laborious art.