Go to Archive.org and search for the Radio model number, and/or name. I paid 10 bucks for a schematic on one site and then found a Photofact for it on Archive.org which had a lot more detail. Be sure to not use even a Volt-Ohm meter unless it is a battery operated one, or it is connected through, as stated previously, an isolation transformer.
One way to check is to connect your device's (the meter or other device) ground, to the internal ground (and then, after checking it that way, to chassis ground) - some of these old radios used a ground isolated (sometimes by a capacitor) from chassis ground - so check both ways. Connect a voltmeter ground lead to the positive device lead and then touch the point you want to test with the voltmeter positive lead to take a reading - if the voltage is within specs you should be okay to use the device, but if the reading is way high (like 240 or more AC volts on a 120 volt AC point), then you have crossed grounds and an isolation transformer is the best bet.
Another check. If you get a high reading, turn the radio off, reverse the plug on the power source (where it is plugged into your wall, power strip, etc. since this plug probably is not a three-prong plug). After reversing the power plug, do the same as before. Connect your device negative lead to isolated/chassis ground, then connect a voltmeter negative to the device positive lead, then touch the voltmeter positive lead to the point to be tested and take a voltage reading. If it was way high before reversing the power plug, it should now read within specs if the item being checked is itself within operating specs.
Hope I have been somewhat clear about this. Basically, it is a way to line up the grounds and not have them reversed. My advice, for safety, is to use an isolation transformer unless you are using a battery powered only Volt-Ohm meter.