Bob,
Since the electric temp gauge is not original, you can be sure the wiring to it is not original either -so don't plan to use any color codes from any diagrams. I plan to also use a TR4 (electric) temp gauge in my TR3. I assume your gauge was working before you took it apart, so everything should be there to get it working again. However, when the gauge was installed, the PO *should* have installed a voltage regulator in line before it, so that readings might be more accurate. If so, you should find a little three pronged device (looks like a relay) with one wire connected to ground, another connected to a switched (with the key) hot, and the other going to the temp gauge (the ground may be in the form of a grounded mounting bolt). The other side of the temp gauge should be connected to the sending unit at the top front of the engine. There should be no need for any relays, since the power to operate a gauge is minimal.
The power side of the gauge might be wired directly to the power side of the fuel gauge, regardless of the added voltage regulator.
I hope this helps. Lets see some pictures of what you're doing.
Jer