The correct name is Cock
er Lumb.
I have early childhood memories of frequent visits to Cockerly farm in mid/late 40s.
The farmer was Billy Finch, who went on to be an LCC councillor, and who was a friend of my parents.
We went there in my dad's Austin 7 and I recall that we took a steep uphill left turn onto a cobbled road with a waterfall on the right.
When I look now on google maps I do not see the route I remember - no steep uphill section of road - no waterfall.
The waterfall did exist
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Unfortunately google maps does not follow the entire route to the farm, but from what I can see, the present landscape and access roads are not as I remember them.