Continuing my weekend Internet cruising, I also came across a piece of information that I had wondered about, but never found. How to get the path to the .config file being used by a .NET application. Apparently, this information is available through the AppDomain. Specifically, the following method retrieves said path:
AppDomain.CurrentDomain.GetData("APP_CONFIG_FILE")
The things that are available on the Internet if you know where to find them. Or, in my case, just randomly stumble across them.