Andrew,

I'm going to try and answer some points that may not have been
covered, and offer alternative answers.

I agree with the previous answers, all good.

If you don't have a telescope gage, then there is an alternative.
Make a plug gage on the lathe. A rod with 3mm long sections at 14.95,
then 14.96, 14.97, 14.98, 14.99, 15.00, 15.01 will possibly do the
trick for you. Then it is used as a go-no-go gage. You don't need to
remove the part.
Some folks prefer to make a gradually tapered gage and use bluing, or
use commercial taper pins. When using a tapered pin, you measure at
the exact point of contact.

As to your inquiry about the flapper. I would use a piece of scrap
about 10mm diameter, and saw it on the bandsaw along the central axis
for about 5mm (A round tuning fork), Insert a 4mm wide strip of emory
and wrap it around, grit out. When you get to about 14mm diameter,
that's enough. Use in a drill chuck.

This is a good time to insert a safety note: (since the thought may
have crossed your mind): ABSOLUTELY NEVER stick your finger into a
rotating part with sandpaper.

Morse taper mill quills are typically very old, Bridgeport invented
the R8 and is considered better by most. Shorter fatter tapers are
more ridgid and found on heavier machines.


Dave