I set up a ConnectEase data source when I installed the driver and ODBC seemed to find my database and set up the data source name just fine, but now I don't see it from the Windows application I wanted to use. What gives?

Chances are you are running Windows 95 and a 16-bit application (i.e. Access 2.0). You installed the 32-bit driver for Windows 95 because that was your operating environment. But 16-bit applications such as Access 2.0 running under Win 95 or NT still need 16-bit ODBC drivers. Install the 16-bit driver set and you will probably be fine.