FAIRFIELD, a chapelry in the parish of HOPE, hundred of HIGH-PEAK, county of DERBY, 1 mile (E. N. E.) from Buxton, containing 482 inhabitants. The living is a perpetual curacy, in the peculiar jurisdiction and patronage of the Dean and Chapter of Ljchfield. The chapel is dedicated -to St. Peter. Anthony Swann, in 1662, bequeathed £4 a year for teaching ten childre in 1693, Rowland Swann left a trifling sum for booksand in 1771, the commissioners of enclosures allotted land of the annual value of £10, in augmentation of the master's salary.