Great, I'll add that. 

To my way of looking, it seems the cattle grid may be 200m east of the historic Anstey Moor Gate. At the car park (under this note, https://www.openstreetmap.org/note/3825574 ; another query) there's a hedgeline, and a cluster of N-S tracks and paths, just as there is at Molland Moor Gate. More especially there's a prominent hedge, presumably ancient, running N-S to that point.

That's enough for me to think "Anstey Moor Gate" properly refers to that junction, rather than the cattlegrid and gate as they currently sit. Thoughts on that?