The 1960 edition of MO 630 (AP 3340) Air Ministry Meteorological Office "Handbook of Aviation Meteorology" list the following Q codes relating to barometric pressure.
QFE: barometric pressure at the level of an aerodrome
QFF: barometric pressure at a stated place, reduced to mean sea level
QNH: the pressure setting which causes the altimiter to read the height above mean sea level of the touchdown on landing, plus the height of the altimeter above ground
QNE: the height indicated on landing at an aerodrome when the altimeter sub scale is set to 1013.2 millibars (29.92 inches)
The relevant chapter also notes "If with the altimeter set to 1013.2 millibars, the pilot requests QNE, the reply states what height the altimeter will read on landing at the aerodrome concerned. This is simply the height in the standard atmosphere corresponding with the pressure QFE. The use of QNE was introduced as a substitute for QFE at high level aerodromes to cover occasions when the sub scale did not have sufficient range to set QFE. With the introduction of an extended subscale and the use of alternative settings, QNE is now obsolescent"