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 A HISTORY OF DERBYSHIRE Ashbourne, and Parwich, which may be displayed thus (the figures represent carucates) : l Ashbourne Mapleton Bradley. Thorpe. Fenny Bentley Offcote. Hognaston 3 2 2 4 2 2 2 4 21 3 2 2 2 2 2 4 21 O 6 o Wirksworth Cromford. Middleton. Hopton. 'Welledene' Carsington. Callow. Kirk Ireton. Parwich Hanson Grange (40] Alsop le Dale . > a of Cold Eaton . J ) It will be seen here that the 21 carucates assigned to Wirksworth and its berewicks are exactly balanced by the 17 and 4 carucates belonging respectively to Ashbourne and Parwich with their appendages, the whole group making up a joint sum of 42 carucates. This case is of some importance, because it shows that rather unpromising figures may combine to make a purely duodecimal total. Still neater, however, is the case of Longdendale, the constituent manors of which form an isolated group in the extreme north-west of the county : car. bov. Thornsett. . . . . 4 ") Ludworth Charlesworth and Chisworth Chunal .... Hadfield Padfield Dinting Glossop . Whitfield 4 } 2 O Hayfield Kinder Here the roundness of the total, which in this case is supplied by Domesday itself, and the symmetry of the group, which, by simply following the order in which the places are mentioned are entered in the survey, falls naturally into three sections of 2 carucates each, are alike remarkable. And the second point makes it advisable to remember that a very large proportion of the vills of Derbyshire was assessed either at 2 or 4 carucates each. There is no need to give instances, which occur on every page of the record ; and, in face of the Longdendale example given above, we cannot doubt that if we only possessed the key to the grouping of these figures we should find them duly combined in blocks of six and twelve. But it may be well to give three instances in which fractional assessments work out to figures of this kind. Such are Ticknall, assessed at 4 carucates (2^ + f + i) ; Ingleby, at 2 (f +!.+ $ -f T ' T ), and Risley, which before the Conquest had been divided thus : Wulfsige ('Ulsi '). . . 5 $ bovates Godric. . . . 5 j 1-Total, 2 carucates. Leofwinc (' Lewine '). 5^ J 1 The places are here set out in the order in which they occur in Domesday. 296