OK. What I have just completed is the COMPLETE un-install of the Canon MF232w, AND, all the associated software.
THEN, I un-installed a Brother 9130CW that was also on the network. With that, I re-installed the Canon MF232w, and all the bundled software. With that, I re-started the computer, and all is working.
The last thing I'm going to try, is re-installing the Brother wireless printer on the network, and NOT all the software that came with it on m computer.
Apparently, because I installed the software for the Brother 9130CW on my computer FIRST, there was some conflict in the setup when the Canon MF232w was installed. I'm not really computer-savvy, but once I had the Canon re-installed, then I just went to the Windows "Printers and Devices" manager, and it found the Brother printer on the network, and installed the drivers for it. Now, they're both working as they should.
Thanks, James, at Tech Support for getting involved in my issue.