Don, consider this. (I didn't notice if anyone else already posted about it)
It's an extension machined to screw onto your headstock.
Vic makes two versions, one with threads on the right end to simply extend the chuck for deep bowls, and such.
The other also has the threads but has a 2MT socket. It also has a through-hole as per the website.
I bought the 1-1/4" to 1-1/4" threaded extension. I haven't tried the MT version. Haven't found a need for it.
I'm sure you know this, but one problem with using morse taper attachments in the headstock is they
NEED constant pressure from the tailstock or from a drawbar to keep them tight. No problem with a steb or other center holding work supported by the tailstock. A big problem for a MT arbor, say one threaded to hold bottle stoppers while turning, unsupported by the tailstock, drill chucks, or MT collets used in the headstock. These need a drawbar, easily made.
If turning short spindles without tailstock support, I like to use 2MT collets. These are FANTASTIC for ornament finials, conductor baton handles, and other short spindles that can't be supported by the tailstock. They are cheap, too. These require turning a tenon on the spindle blank (I use the 1/2" size) then pulling it tight with a draw bar.
I bought several 1/2" MT collets from Little Machine shop for about $10 each.
I also got a couple of sets from Amazon that go from 1/8" to 1/2", but a set is closer to $60.
If you don't have a draw bar, they are easy to make. Most 2MT things like drill chucks and the collets, are thread with 3/8"x16. I have some mandrels that use a 1/4"x20 thread. I make the draw bars from galvanized all-thread rod from the hardware store.
JKJ