More thoughts:
The two cross sections (32 and 38) do not depict the Back vein well - 32 was prepared in 1923, 38 originally in 1917, and while the map accompanying the 38 cross section was certainly updated with the work after the dewatering, I do not think the same can be said of the cross section.
I therefore think the arrangement of whinstone dykes, hards etc., in the Back vein can not be relied on.
As a first approximation using the angle of the fault, and marking the floor heights, I think I can confirm that the most southerly of the Floor 3 "lost world" levels and whose chambers connect with the lake level is immediately to the south of the fault line - and the fault probably forms the north wall of the level. The other two levels - central and northern do not appear to correspond to anything yet - insufficient data.
I wonder if the next explorers in the area could try and ascertain the angle of the layers forming the roofs of the chambers - it would give us a handle on the nature of the roof i.e. if the angle matches the dip of the vein, then it may well be a chert or similar, if steeper, then probably a whinstone dyke.
I will try to use the layers marked on the main Lower Quarry plans for the DE and G back vein levels and see if that helps.
Grahami
The map is the territory - especially in chain scale.