For context, I recently moved (into a very old home) and I have a series of recessed lights operating on a single switch. All but one light fine... what I assume is the last in the series does not. There is only a black and red wire present -- no ground, and no neutral as far as I can tell. When I test with a non-contact voltage tester, both the black and red wires are hot when the switch is on, and no voltage on either is present when it is off.
I have not tested with a voltage meter yet as there is no ground or neutral wire present so wasn't sure the correct/safe way to do that. How can I determine the voltage of each wire, and if this is appropriate to properly complete a circuit to get a working light in this space?