Thanks, Everkane. When I went to save your Notepad file into the Conquests folder, I got the dialog box advising me that there already existed a "conquests.ini" file. Thing is, that it is a Notepad file, but doesn't display the .ini extension. To the right, under "Type", it is identified as "configuration settings". Also, there is a 0.16 Kb difference in the file sizes.
So, what I did was just add KeepRes=1 to the file that was there, and it worked.
Because I got Civ3 Complete at Steam, my pathway was
C>Program Files(x86)>Steam>steamapps>common>Sid Meier's Civilization III Complete>Conquests>conquests (the final file being a Notepad file w/o the extension identified).
Using the links provided by CommandoBob above, I have also recaptured the Editor and CivAssist, so things are getting back to what I had before I got a new computer and got on Steam (and went through Civ4 and Civ5).
Don't know how common my experience with the different Civ iterations is, but I like some things about Civ 4 (barbarians and religion), some things about Civ 5 (graphics and city defense), and some things about G&K (units and new civ's), but I still think the Conquests package is the best thing Sid has done since South Mountain/Sharpsburg.