Quite a long time ago the Editor received an article on certain liner earthworks in Oxfordshire and Buckinghamshire. The author, Mr M.W. Hughes, developed a reasoned hypothesis to account for the facts, basing his argument on the assumption that the course of the ditches marked on the Ordnance Maps was as correct and complete as possible. It seemed desirable, however, to test this in the field, and the Editor therefore applied to the Archaeology Officer of the Ordnance Survey, with very satisfactory results. The course of each ditch was followed on foot, and its characteristic features recorded on the 6-inch map. The investigation thus initiated was carried on until nearly all the Grim’s ditches of Wessex, and some others as well, had been traced. The information thus obtained proved to be of considerable value ; many miles of new entrenchment were discovered, and these will be incorporated on the new (5th) edition of the one-inch Ordnance Map now being prepared, and will also appear in due course on the Ordnance Map of Anglo-Saxon Britain, now in preparation. It also became evident that the name Grim was attached to at least two quite distinct types of entrenchment. The date of each can, as a rule, only be determined by means of excavation; some of these examined are probably prehistoric ; others fall probably within the extreme limits of the years A.D. 350-700. Those dealt with in the present article are almost certainly either late Roman or Saxon.