In reply to 999thAndy:
Having done a quick check with my dividers using a 1" to 4 Mile scale map, the two nearest contenders for the remotest place in England from a tarmac/public road are likely to be:-
a) a place around half way between OH ME EDGE & MONKSIDE Just north of Kielder Water in the southern Cheviots. at just about 4.75 miles from the nearest public road.
b) a place approximately 3 miles north of Cross Fell, but this is probably only just 4.5 miles from the nearest road.
(Sorry - no grid refs.
But to my surprise Dartmoor comes a close third with a spot about half a mile east of Great Kneeset, this being 4.25 miles from the nearest road.