In Part I of a Memoir “On the Craniology of the People of Scotland,” published in the Transactions of the Society twelve years ago (vol. xl), I described the anatomical characters of 176 skulls, the majority of which had been obtained in the counties south of the Clyde and the Tay. The dimensions, form and proportions of the cranial box and of the face were examined, the cranial and facial indices were computed, several of the skulls were figured from the vertex, lateral aspect and face, and mesial sagittal sections of the skulls with radial and other measurements were reproduced. The Memoir gave the fullest account of the characters of the skulls of the modern Scottish people which had been produced up to that time. In the concluding paragraph I stated that I had formed a collection of skulls of the prehistoric in-habitants of Scotland, which I proposed to describe to the Society in Part II of the Memoir, and to discuss the general ethnographical relations of the Scottish people. From various causes the presentation to the Society of this Part has been too long delayed.