The Problem is Solved!!!!
OK everybody, the problem is solved! And I must say that dropping the transmission 4" wasn't too far off. In fact, all the ideas that people sent in contributed to the solution. Here's the scoop:
After checking the shifter stick and the parts associated with it, such as the reverse lockout plunger, anti-rattle thingy, etc., I lubed up that assembly. I also replaced the cup and spring setup that the stick sits in.
I drained out the old oil and sludge (I had done this back when I removed the transmission originally, but goo and sludge on this car are just about as common as the rust was) and filled the gearbox with kerosene. My brother-in-law in Los Angeles used to flush these kinds of transmissions with diesel fuel, but I had kerosene handy and it was close enough. After a bit I drained out the kero.
I opened the side cover on the gearbox, which is a trick with the 'box in the car. Yeesh! Anyway, I checked the guts and cleaned some springs and plungers. Once that was done I closed up the whole show and filled the gearbox with nice fresh oil. Very yummy, apparently.
The mechanism was still stuck. About that time one of my friends, who heard of the situation, dropped by and cast a stony glance at the shifter and concluded that the rods from shifter to gearbox were being stubborn. We removed the stick, again, and he used a gigantic screwdriver as a lever and got the socket into which the end of the sifter stick goes to move a tiny bit toward reverse. He pushed it back a bit, and then shoved it back to reverse.
Meanwhile I gave the internal mechanism the Big Spray with WD40. Within a few minutes the shifter was moving in and out of reverse with no problems. I shot more WD40 onto the rod (which you can see with a flashlight) where it goes through a wall. A bit more encouragement with the screw driver was next. Then we fitted the shift lever back in place.
In a few more minutes were were shifting like we were at Le Mans. About this time my wife came to the garage to see what all the shouting was about, and the three of us took turns sitting in the car and operating the clutch and shifter.
Note to self: Buy seats soon.
And that is the story! It works!
I am pleased to say that the comments on the forum here were a <span style="font-weight: bold">big </span>help in getting this problem solved.
Many thanks to everyone!
