The MT0 is pretty rare !
Well, I see that there is indeed a MT0, but I never knew that before now ....
https://littlemachineshop.com/reference/tapers.php
.... and I certainly have never seen one.
Sprung's first suggestion, above, is your best option, in my opinion.
You can also take his second suggestion. . A MT0 dead center and a MT0 live center are available as I see here:
http://www.ebay.com/itm/MT0-Lathe-D...-Degree-Point-0-Morse-Taper-New-/291641956830
http://www.ebay.com/itm/MT0-Live-Center-/322170648777
Doing as dogcatcher suggested may present some challenges because I don't know what the internal spindle taper is on a Taig lathe. . As far as I know (and I stand to be corrected on this), Taig does not provide a separate collet chuck. . They do provide a set of collets which fit directly into the Taig spindle (whatever the the taper is) and a collet nut to hold them in.
This link gives a good picture of that set of collets and the nut:
https://littlemachineshop.com/products/product_view.php?ProductID=2317&category=1267830054
But I think you may have trouble using them on your lathe.
The Taig and Sherline lathes differ significantly in the architecture of their headstocks as some people have noted in this link:
https://groups.google.com/forum/#!msg/rec.crafts.metalworking/bA6VS88nMIM/1eMktiq47jIJ
so I have the feeling that the Taig collets won't fit your lathe (although the nut will).
So I think that Sprung's first suggestion is your best bet, although you will still have to have a MT0 live center for your tailstock.
That is a very important point because you can't use any mandrel without this live center in the tailstock.
I am thinking that you may already know this but it is worth stating just in case.
The reason a MT1 "sort of" works in your lathe can be understood by studying the right hand column in the table given in my first link, and that is because all Morse Tapers have "approximately" the same angle but differ in their diameter and length.
Getting the right accessories for your particular lathe will improve the accuracy of your pen making and increase the satisfaction and pleasure you get from the hobby.
By the way, welcome to IAP !!!! . Write a very brief entry in the "Introductions" forum and you could win a prize if you are lucky !