Yes, sorting out the ringcairns here is a very confusing business. I found a site clearly matching the diagram and description of Beeley Moor South (Beeley Moor South 1) in John Barnatt's 1990 "The Henges, Stone Circles and Ringcairns of the Peak District" at SK 28537 67694 on my GPS. I think Stubob's photo and fieldnotes refer to Beeley North (South 2).
Sorting out all the ring cairns is a confusing business on Beeley Moor with it's NE & NW Warrens, the Souths, the Centrals and more Warrens.
This rubble ring could be a robbed or ring cairn or maybe even a house.
It's around 8m in diameter and about 20ft from the more visible Beeley North (South 2).
Still tricky to spot as it's now only a slight raise in the heather.