Now here's a knotty little riddle.
My Bantam 2 has a bastard size taper up the head stock, which is rumoured to be MT4.5, or some such. It seems Mr Colchester didn't want us buying standard fittings so he made the head stock a funny size, though it may be something to do with the size of the bearings carrying the head stock. Mr Lathes.co.uk has got some comments thereon.
Anyway I'd have assumed that your Student was the same, but it can't be. I made a bush for my Bantam, but it's 1.517 – 1.362 by 3.07 ins long.
However, when I bought the lathe I was given what was supposed to be the "right" bush, which is much too large. Squirrel that I am I've kept it, and it is 1.809 – 1.656 x 3.036 long. All these dimensions measured with calipers, so somewhere handy but not precise. While those dimensions aren't exactly what you've shown above, they look something useful.
You are welcome to try the second bush and see if it is what you are looking for, send me a PM with your address and advise so on here and I'll pop it in the post next week.
Hope this works! Rgds Simon