Fairfield is a district of Buxton, in the High Peak of Derbyshire, England. The historic medieval village of Fairfield was centred around a village green. Fairfield is located on the A6 road half a mile to the north east of Buxton's town centre, 340m above sea level. Fairfield is at the head of the narrow dry gorge of Cunningdale, which is part of the Wye Valley Sit…Fairfield is a district of Buxton, in the High Peak of Derbyshire, England. The historic medieval village of Fairfield was centred around a village green. Fairfield is located on the A6 road half a mile to the north east of Buxton's town centre, 340m above sea level. Fairfield is at the head of the narrow dry gorge of Cunningdale, which is part of the Wye Valley Site of Special Scientific Interest.