"HOLBROOK is a township, in the parish of Duffield, about 2 miles S.E. from Belper. The inhabitants are chiefly employed in silk stocking weaving. A pit has lately been sunk in the vicinity, the working of which promises a plentiful supply of coal. The chapel is of simple architecture, with a conical spire; the living is a perpetual curacy, in the gift of Wm. Evans, Esq. the lord of the manor. The surrounding country is very picturesque, and fine prospects may be obtained from the adjacent hills. Population, in 1831, 703."
[Description from Pigot and Co's Commercial Directory for Derbyshire, 1835]
The village is five miles north of Derby city. Coxbench is a hamlet in the parish just south of Holbrook village. There is a good description of Holbrook at Derbyshire Life.
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You can see maps centred on OS grid reference SK364449 (Lat/Lon: 53.000171, -1.459068), Holbrook which are provided by: