I have the honour to lay before the Society an archaeological survey in which will be found the principal and most of the minor archaeological discoveries which have been made in Cumberland, Westmorland, and Lancashire North-of-the-Sands, in other words in the diocese of Carlisle and the parish of Alston, which though in the county of Cumberland is not in the diocese of Carlisle. The Survey is based upon the model of the able Survey of Kent by our Fellow Mr. George Payne, printed in Archaeologia, with one or two deviations which I venture to think improvements. For instance, arranging the Topographical Index in three columns instead of four, so obtaining more space in the three left, while the duty done by the abolished column (Mr. Payne's second column) is discharged by appropriate cross-headings. In the first column, that headed “Locality,” I have given, after the name of a place, the reference to the quarter (N.E., N.W., S.W., or S.E.,) of the 6-inch Ordnance Map in which the place is or should be marked. The labour of doing this is no light work, and the mere turning over and over of some hundred and fifty of these sheets entails considerable fatigue. But once done, its convenience to all using the index is obvious. Thus two places of the same name allocate themselves at once without the necessity of a long description, e.g. in Cumberland, Kirkland, 15 N.W. and Kirkland, 51 S.E. at once define and differentiate themselves.