[2] The village is about 3 miles (4.8 km) west of Pateley Bridge on the road heading towards Grassington, and is mainly in the civil parish of Bewerley.Sir John Yorke disputed the rights to the mines at "Grenhow" and "Grenehosyke" with Thomas Proctor in 1549.He was also responsible, as part of a settlement with John Armitage over disputed land, for the founding of the actual village of Greenhow.[12] The quarry produces 600,000 tonnes (660,000 tons) of limestone aggregate per year, with most being used in West and North Yorkshire.The road has a very steep descent into Pateley Bridge from Greenhow (between 16 and 19%) and has been the setting for many accidents, especially for people on bicycles.