Oooo..... Good catch. So maybe a 370? I am really surprised it doesn't have a riveted tag on it.
Some of the later models use a two-sided tape, perhaps an epoxy. I have a brand new QT-7.5 pump that is about to go into personal service that looks that way. Completely off-topic, I'm torn as to whether to put that one into service or rebuild the 325 ROC 7 I have that's still in fantastic condition (Nov 12, 1959). It doesn't really need anything, but I was going to put new rings, bearings and gaskets in it. Tough call.. I really like the 325 better, but the QT-7.5 has a higher output, is built almost as well, save for the aluminum head and lack of pressure lubrication. The bearings, crank, rods, and pistons are all just as good, given it's a splash-lub design. It has an aluminum head with stainless reed valves, which is good and bad. Slightly noisier, though arguably more efficient. Swapping a valve plate and gaskets is literally a 15 minute affair compared to rebuilding the concentric ring valves, which while easy to do, is nothing short of an hour to do correctly and requires significantly more parts.
OR, alternately, I'm almost finished with a newer model 240, which rivals the QT-7.5 in volumetric flow, but not peak pressure. These later-model 240s can easily turn 135 PSI.
It's a mid 80's model IIRC, don't remember the ROC off hand. O yes it is a super smooth beast, but the 100psi max is kind of a pain as it cycles on (~75psi) and off (~105psi) quite a bit. It was a good upgrade from the model 230 I had. That pump was a real PITA, super difficult to find info on. Basically it was an older version of the 240. Of course when I searched google for "Quincy 230" it came up with 230 VOLT quincy compressors not model 230.
It might be worth snagging those updated rings and measuring the current draw on your motor with a higher pressure switch, perhaps a cut-out of 125 psi just to test. If you see a linear increase in pressure up to that point, and don't see the motor drawing way more current and/or taking too much time to get there, I doubt the compressor would notice the difference based on the fact that its internals are exactly the same as its 2-stage brethren.
The only thing I did to the 270 I have was to put a "soft" rebuilt kit in it, basically all head gaskets. When I picked it up at the local dealer they gave me this real funny look ( I was ~19 at the time). Like O.. are you fixing something at work? I told them no, it was just for my home garage, I hope it is enough to fill tires and the occasional basket ball. The look on their faces was priceless.
I have less into that pump, a really goofy single phase 10hp motor and two 60 gallon tanks than the average ~$400 60gal cheapo goes for.

I don't really NEED the higher pressure of the two stage, but it would be nice to be able to leave the compressor off for a longer period of time. Quincy pumps are designed to be operated at a specific duty cycle to keep condensation out of the head. This is where rusty disk valves come in. But it is funny to see the look on people's face when the see it for the first time. It sits on the floor in the corner connected to a 60 gal vertical above it as well as another 60 tank up in the attic. So quite, so smooth, just a chug, chug, chug. I think the unloaders make a pretty sweet sound while in operation.
Yeah, I'm almost tempted to keep my eyes open for one of these 370s and just run it really slowly (~500 RPM) with a 7.5HP motor. I'd have to find a horizontal tank to mount it on, as the mass of a 370 would likely overwhelm the 80 gallon tank I currently use, or make it so top heavy that moving it would require a small crane or partial disassembly of the pump.
Maybe I've got a shot at this 370.. =D