Your Plug (outlet) looks like my old 220VAC 50 AMp outlet. There is no ground with these. you have two hots and a neutral. Older plugin AC welders ( I have a very old Lincoln) use a very large transformer to step down voltage and boost current. The Primary should be Isolated from the secondary, otherwise, the leads would be at full potential, a lethal situation! I would guess you were feeling some leakage current off your welding lead, mine will do the same. You could fire the unit up and check with a volt meter from either lead to a good know ground. If you read 120VAC that is not good. You won't see 220VAC to ground as the feed to your house should be off a transformer at the pole and the center tap (neutral) is what is grounded back at the main panel.
hope this helps, Phil C.