Here are some pictures and/or drawings of lathe tools from various makers. If the name of the submitter is underlined, you can go to the submitter’s web site. If you click on the picture of the technique, you will go to a page that will give more explanation and/or larger photos of the technique.
Tony Spezio’s Reel Seat Lathe Bit
Don Schneider’s Lathe Alignment Tool
To take the chuck out of the equation I faced off a morse taper center that fit the head stock. Drilled it for a .5" drill rod. Put a center hole in the bottom of the hole. Turned a point on one end of the rod to match. Drill a center on the other end of the rod. Epoxy together with the morris taper in the head stock and the rod held centered with the tail stock till the epoxy cures. You may want to let the lathe turn slowly while the epoxy cures. It won't come out exactly straight but close. Make the rod as long as you can.
Tom Smithwick’s Ferrule Serration Fixture
This is what I came up with for an indexing rig. The shaft is a hexagonal aluminum rod threaded to fit the chuck.
The shaft is mounted in the tool post, the saw is in the headstock. After each cut, the shaft is loosened and rotated 1/6 turn, which indexes the cut 60°.