Photos would help avoid confusion.

I'm confused. You purchased a new what?

Older lamps typically didn't have a ground but some had a polarized plug so that the exposed metal was at least connected to the grounded conductor.

Now if you want to connect a ground, you have to be careful. If the current carrying wiring is connected to the exposed metal, you need to leave the ground alone. If it's connected only to the bulb sockets (typically the threaded part not the button in the middle) then the rest of the metal should be grounded.

thank you for your responses .. sorry no photos.

Two are old chandeliers with no plugs, just wiring, one is a chandelier remade from old and new parts.. Looks like typical lamp wiring except there is an extra wire with them.

I don't think we can answer without a photo. Sounds like an old fixture perhaps with modified or custom wiring . Without pictures any advice given. Could be dangerous.

If a manufacturer or someone with a clue wired it and provided a ground wire, then connect it to ground. Otherwise, you'll have to do the analysis I suggested already. Ideally the exposed metal parts of the lamp should be at ground potential, however if they are electrically connected to the current carrying grounded conductor, you may not just want to ground that part.

Does that extra wire designed to carry electricity, or is it a safety wire in case the mount fails?

A "wire" isn't likely to hold a fixture.

The wire referred to here is a safety ground. However if the metal parts of the fixture are already connected to the grounded conductor you probably don't want to connect it willy nilly to the fixture.

So, are there 4 wires on the chandelier? 3 insulated and one "stripped" (lets call it bare)? Or are there 2 insulated and 1 bare. If there are 2 insulated and 1 bare, the bare would be the ground. If there are 3 insulated and 1 bare, I have no idea what is going on without seeing the fixture. Surely you have a camera. No?