May be of some help…From Lathes.co.uk…EXE lathes…
..'Early headstock spindles ran in "plain cone and ball thrust bearings" and had a bore of 17/64" with a non-standard taper that, while the same angle as a No. 1 Morse was of larger size, yet smaller than a No. 2. Later spindles were bored through to take a 0.75" diameter bar and used a No. 2 Morse taper – a rather more sensible arrangement but one on which the advertising and other literature is silent'…
…The Super EXE stayed unchanged until 1935 when the centre height was increased to 31/2" by the use of deeper headstock and tailstock castings; this allowed the detachable gap to accommodate work a full 9" in diameter by 2.125" clear of the faceplate. The spindle bore was increased to 3/4", an unusually large size for a small lathe, and mention was also made of the increase in bearing size to accommodate what must have been a substantially larger diameter spindle; the size of the taper in the nose remains a mystery however – but scaling up the original dimensions indicates that even a No. 3 Morse would have been possible…
Plenty of info' …. http://www.lathes.co.uk/exe/index.html …
George.