Many beds of limestone, belonging to the middle division of the Upper Silurian formation of the Island of Gotland, consist almost entirely of the fragments of a very large and peculiarly-shaped Brachiopodous shell. It may be regarded as one of most characteristic fossils of these Upper Silurian rocks. Perfect valves, giving a satisfactory view of its structure have never been found. When Mr. Davidson, with his usual kindness, sent me copies of the figures and descriptions given by Mr. Billings, of the new genus Trimerella, found in Canada, I had no hesitation in referring both the Canadian and the Gothlandic shells to the same genus. The materials obtained by Mr. Billings seem to have been more incomplete than mine; I have, therefore, been able to make some additions to the description given by him.