Gerald,
Spot on. Seeing how this works internally what I suspect happened is I had the tractor in 1st gear and bumped the selector lever sideways. With the work end it was able to slip out of the outboard 1/2 gear selector fork and wedge in behind the other fork pushing it forward into the reverse position. I'm going to have to be extra careful until I can order a new selector lever.
In this first picture, taken from the right side of the tractor, you can see the shift fork closest to the center in the forward (i.e. reverse) position.

The box end of a Craftsman 5/8" combination wrench is just the right width to match the shift selector forks. This picture shows the neutral position:

Here's a picture of the end of the Main Selector Lever. It's about 3/8" at the top and tapers to about .310" at the end. The ridges must be from the original part? I can't see how that pattern could get worn into it:

It's difficult to tell from pictures of replacement levers what the end is supposed to look like but it certainly looks larger than the shaft above it:

Turns out this little learning episode may have be fortunate in that it prompted me to change the oil in the transmission. It looked low and when I drained it it had obvious signs of moisture and also appeared to be perhaps hydraulic fluid rather than the recommended straight W30 oil:

According to the Operator's Manual the transmission oil capacity should be 23 pints. I put in a full 3 gallons and
it is still a good inch or so below the oil level inspection plug
