Alright, I did a jumper from the battery positive terminal to the starter terminal, turned the ignition on and pressed the starter button with the same result. Nothing. No sound, no clicking. No noticeable dimming of the headlight.
Mind you, though, all I have is car jumper cables, and the one end wouldn't fit into the tight space to reach the starter terminal, so I had it clamped to a wire that I ran to that terminal. I'll ask a friend if they have a smaller jumper so I can give this a proper try.
I did notice green corrosion where the starter relay plugs in, so I'll clean that in the meantime and see what happens.
Again, thanks for the help. Electricity might as well be magic, my knowledge is so poor on it.