First of all, TR4's originally came with a positive ground setup. TR4A's had negative ground. Your TR4 may have been changed. Where is the Positive cable from the battery going?? To chassis ground, or the solenoid?? If the positive is going to chassis, then it's positive ground.
Either way, that solenoid is grounded through it's casing to the body. The current from the start switch goes to the small connector on the solenoid, through the coil inside and then to ground though the case. You said you've got juice to that connector. If the coil is good, you should here it click when you try to start the car. If it doesn't click, then the coil is most likely bad, or the ground between the casing and the body is bad. If you want to check to see if the starter spins, then yes, you can jump across the two large terminals to see if the starter spins. Just be careful, that starter draws a couple of hundred amps. There will be a lot of sparking.
Also, since you don't have juice for other parts of the car, check the connector on the solenoid where it comes in from the battery. There should be some other wires attached there that feed the rest of the car. If you have a lousey connection there, it may explain all your problems.
Edit: Doesn't your solenoid have a push button on it?? If so, just push it and the starter should crank over. No need for jumping across the large studs.