I'd say the lathes look like South Bends, though the motor mounted outside the "bell" front base casting (or "plinth" as our UK brethren sometimes call it) has me wondering.
Lathes all gleam with shiny enamel, sailors all in clean clothing, and instructor with a bow tie.... looks like it might have been a staged photo. No safety glasses on anyone, so this might also go with the staged photo idea. I also wonder where those sailors went after their training, and how many of them came home after the war.
Years ago, when I was working at the powerplant, we had a group of West Point cadets come through on a tour. I was asked to address them as well as answer questions they might have had. As I stood before the group, I automatically was addressing each cadet as "Ma'am" or "Sir", and as I stood there, I found myself wondering where these young people would be sent once they graduated and got their commissions. At the time, the USA was heavily embroiled in military actions in Iraq and Afghanistan, so it was not inconceivable that they'd be sent to where the action was. I found myself wondering how may would be injured, suffer PTSD over their lifetimes, or get killed in action. I found myself standing there in an attitude of awe and respect for these young people, not just for having made the grade and survived a few years at West Point, but for their bigger picture. The sailors in this picture are obviously going to be posted to various places where the Navy had need of them, and many could have wound up in the Pacific, seeing heavy action.