Bought a box of lathe tools on the logic of buying the knurling tool and it just happened to come with a bunch of bits I didn't need.

First thing is these guys. The top rotates freely and slides axially a bit. There are two cylinders in each part that will stop the rotation when it reaches one limit and there is a tenon in the shank that will stop rotation when it reaches the other limit.

Originally I thought maybe some sort of tapping fixture but I can't see any way to hold the tap in place.

The front part of this can rotate, move back and forth and wobble. Theres a knurled ring mid way that can reduce the play of the front part. The bore in the front piece doesn't appear to have any way of holding something inside.

Clearly a tiny lantern tool post but not sure from what lathe

I feel like these are used to offset capstan tools so they can work on larger parts but not really sure either.

Anyone know what these are or what machine they came from? Also came with a bunch of capstan tooling so I have a feeling its to do with a capstan machine but not sure.