that it was somewhere north of Oakleigh, that is between Oakleigh and the River Thames. No such name or any variant of it is now known, and Wallenberg's tentative suggestion that it may linger on in the name of Redham Mead, a piece of marshland north of Cliffe, is not at all likely on topographical grounds. Moreover in a grant of land at Bromehege, Cooling, dated A.D. 778, that name already appears well established as Hreodham.¹
   The ambit passes from the neighbourhood of Maedham southward to Ac leage which as we have seen may be identified with the later manor of Oakleigh, and so to Waeterlea which still existed as the name of the field immediately west of Lillechurch as late as 1850, and was possibly the name of the estate upon which Lillechurch Priory was founded with the result that the place-name became degraded to a field-name. Lee Green, a hamlet a quarter mile to the south-east, doubtless took its name from the same source. The next name, Colling, is not the present Cooling, as Wallenberg has pointed out, and although after several suggestions he leaves its identification open, had he an opportunity of knowing the countryside he would scarcely have failed to discover Cooling Hill, the tree-covered knoll south-eastward of Oakleigh which rising to a height of some 50 feet is easily conspicuous in this flat landscape. It now serves as a trigonometrical station, and is a point at which the present boundary of Higham parish changes its course through a right-angle. The flat land between

Oakleigh and the Buckland road, part of it at one time a golf course, may well have been included in the Waeterlea of the charter, and to-day it is crossed by the parish boundary. Wallenberg's suggestion of Lee Green seems to have been made merely on the inspection of the map for a suitable name in the vicinity, and as we have already noted, that name has a convincing explanation.
   We have now arrived at the approximate eastern extent of Offa's grant. Its further boundary on its way to Murston passes southward along the road leading to Eohinga burh in an estate belonging to the monks of Rochester. There seem to be four clues to the position and nature of Eohinga burh. It is likely, by the evidence of its name, to be some sort of earthwork, possibly a grave-mound, and to lie close to a road which travelled somewhere to the south of Cooling Hill towards a property owned by the monks. There are two sites, each of which satisfies some but not all of the conditions, and it will be convenient to discuss the least probable first. In 1889, Mr. George Payne, the Secretary of the Society, excavated a large prehistoric barrow of interesting form situated on the parish boundaries of Shorne and Chalk, some three-quarters of a mile westward of the Crown Inn at Shorne.² There would be no purpose in describing its archeological
   ¹ Birch, op. cit., no. 227.
    ²  Arch. Cant., XXIV (1900), 86-90.