HESKET-NEWMARKET, a market-town, in the township of Caldbeck-Haltcliffe, parish of Caldbeck, union of Wigton, Allerdale ward below Derwent, W. division of Cumberland, 14 miles (S. S. W.) from Carlisle, and 297 (N. N. W.) from London. This is a small but neat and compact town, situated in a secluded and romantic district, on the south side of the river Caldew. The surrounding district is mountainous, and contains mines of lead, copper, and manganese; at Carrickbeck are smelting-works for the lead-ore. The market, which is held on Friday, is inconsiderable; but there are well-frequented fairs on the first Friday in May, and every alternate Friday till Whitsuntide, for cattle; and the last Thursday in August, and the second Thursday in October, for sheep. Here is a place of worship for the Society of Friends. Near the town is a petrifying spring, issuing from a rock on the margin of the river.