Thanks Kidstypike - you've drawn my attention to some possible spots....
I just noticed on the map a disused quarry next to a minor road running from where the main road crosses the railway line - a bit of unfenced road. SD542951
I bet thats the spot. (You have to have good eyes to spot the road!)
There's also a possible spot (now my attention is focussed on that little area) at Mealbank - unfenced road next to a little wood 400 metres NW
The second hill is Cunswick Scar and Scout Scar - but there's a car park in etween the two (has to be short walks becasue I'll have two dogs and one of them is, like me, no youngster)