Not real clear.........do you have access to all 4 wires?
The correct answer is you need 4 wires, or at least both a neutral and ground and one hot,..........but..........
Here's the thing.
"In the beginning" when the antique electrical system started, "neutral" and 'ground' sort of amounted to the same thing
Here's how this works "most places."
From your pole is ONLY THREE conductors.......the two 240 "hot" which are 120V to ground/ neutral, and the grounded/ grounding / neutral conductor, sometimes bare aluminum in overhead household wiring.
SO THAT BARE conductor is in fact "both" neutral and ground
At the main box / meter / disconnect, the big bare aluminum connects to the following:
The metal box
the neutral buss in that box
a "code" ground rod
THIS IS WHERE stuff gets sticky, because FROM that point, that neutral buss, which is in fact "same as ground" in that box, there is NO OTHER place that the neutral and the "safety" or "green" "ground" come together, even though they started out "same" at the main box.
NOW ONWARDS TO your garage.
If you have a box in the garage, a "sub" generally you have a feeder off your main box from a breaker, so you have either 3 or 4 wires, certainly the "two hots" and neutral, and if 4, also a green ground
THE NEUTRAL buss in the sub box is NOT hooked to the box, or a ground rod, but rather is INSULATED just as if it is a "hot."
The ground (green) is hooked to the box, or at very least the box has a ground rod, and should, anyhow. "to the box" and that is where the 'garage' ground "green" hooks.
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"So what" do you do? Answer? I don't know. Here's what I do and IT IS CHEATING but the only time I do this is when I really need to
I have and interesting situation because the meter / disconnect is at the garage!!! So the "house" box is really a sub of that.
This means that my welder recep, which is about "1 foot long" has the ground hooked to the main box, and it is essentially "same as" neutral and ground.
I therefore "fear not" when "cheating" and using the GROUNDING terminal of the welder connector as a 120V take off.