I have been recently engaged in investigating some of the Palæzoic Polyzoa, more particularly the Upper-Silurian Fenestellidæ: the result I beg to lay before the Society. The Silurian group of the Fenestellidæ has by no means proved hitherto so interesting a field for research as the Carboniferous series. I find that only three palæontologists have entered the field—Lonsdale, Portlock, and Prof. M'Coy. The former, in Murchison's ‘Silurian System,’ gives an account of four species of Fenestella and two allied forms, which are most likely Fenestellœ . Prof. M'Coy, in the Cambridge Catalogue, describes two more species, and Portlock one from the Silurian strata in Ireland, making nine species in all, viz.:— Fenestella antiqua, Lonsd. , Murch. Sil. Syst. pl. 15. fig. 16. —Milleri, Lonsd. , ibid. pl. 15. fig. 17. —prisca, Lonsd. , ibid. pl. 15. figs. 15, 18. —reticulata, Lonsd. , ibid. pl. 15. fig. 19. Retepora infundibulum, Lonsd. , ibid. pl. 15. fig. 24. Gorgonia assimilis, Lonsd. , ibid. pl. 15. fig. 27. Fenestella rigidula, M'Coy , Brit. Pal. Foss. pl. 1 c. fig. 19. —patula, M'Coy , ibid. pl. 1 c. fig. 20. Gorgonia regularis, Portl. , Geol. Londonderry, p. 324, pl. 22. fig. 3. Prof. M'Coy's portion of the work has the advantage of being full, clear, and definite. On the other hand, Lonsdale, from causes to which I shall allude, has not been so fortunate or successful in his descriptions. Indeed the work of Lonsdale in arranging the Fenestellœ of the Murchison collection can only be regarded as provisional. With the scanty material