Jeff,
There are several different systems out there for gauges.
Many American cars and our Marinettes use a sensor that is 33 ohms for a full reading, and 240 ohms for an empty reading. If the "S" terminal is somehow shorted to ground, then the gauge reads above full, because the resistance to ground is near zero. If the "S" terminal is not connected, then the resistance is very high and the gauge will read below empty. It likely will also read below empty if there is no power at all.
According to the book, you have a 0/90 ohm system. This should read empty when the sensor terminal on the gauge is shorted to ground, and above full if there is no connection to the sensor terminal on the gauge.
You can get a 45 ohm resistor and a 90 ohm resistor at Radio Ripoff and test the gauge with them: a short from the sense terminal on the gauge to ground should give you an empty reading, the 45 ohm resistor should give half tank, and the 90 should show full. You have already done the first test, and you got empty as you should. You said "The book says: "90 ohms full tank" and "0 ohms empty tank". I'm getting an open circuit reading on the wire leading to the sender unit in the tank". Try the other two (45 ohm and 90 ohm) to complete the gauge test, but it seems pretty clear that, as you said, you either have an open connection to the sender, or that the sender is defective, failed open.
1975 32' Flybridge Sedan, twin Perkins 6-354 diesels, 1:1.53 velvetdrives, 16 X 19 props. Merritt Island, Florida