Drew:
Not sure I can resolve the complications of the screw cutting chart as above, but I might be able to help with a 42 Tooth gear. I say "might" – here's why.
I have a selection of gears squirrelled from various sources, one of which advertised then as suitable for Bantam (which is what I've got). But some are 16DP (which fit correctly and mesh with the originals) and some are 14DP (which don't).
One of these days I'll get a set of 16DP cutters and use the 14DP gears as handy blanks..
In the meanwhile one of these 14 DP gears is 42 teeth. So we need to determine if it will fit with the gears you already have.
Can you measure the outside diameter of one of your gears, and count the number of teeth. It's probably got the number stamped on it, but it's worth checking carefully that someone hasn't done what I'm proposing to do and that you do have the number of teeth specified.
You said, I think, you have a 45T gear. A 45 tooth gear in 14 DP will measure 47/14 = 3.36 ins OD (n + 2 divided by the DP). OD is measured over the tops of the teeth, so it's the diameter of the gear blank.
A 45 T gear in 16 DP will be 2.94 ins OD, so it should be possible to tell the difference.
If the 14 DP gear is of use to you, read on.
That deals with the outside dimension, now to consider the bore. I'm not familiar with the innards of the Mk1 Student, but I'm assuming it uses the Colchester 6 spline drive which others of the marque use. I measure the spline as 6 teeth, 23.00 mm major diameter, 19.75 mm minor diameter.
Gear thickness seems to be a fairly nominal 3/8 inch.
If the 14DP gears are of use to you let me know and we can sort something out via PM.
HTH and best regards Simon