I'm teaching an A+ class, and I want to demonstrate the 'old days' to my students before we get into the testable material. I've been able to construct DOS networking, but WFW is giving me fits with this adapter. Any help would be appreciated

Sorry, this was unclear to me. Have installed a DOS driver on the hard drive and made the appropriate entries made in the config.sys and/or autoexec.bat to load up the driver for the NIC and networking support?

Yes confusing...
MSDOS and Windows non WfW version use NETWORK CLIENT 3 for file/printer sharing networking. DOS requires a seperate network setup for Internet TCP/IP Access.

http://www.wown.com/j_helmig/dosclien.htm

Windows for Workgroups 3.x has an intergrated Network which can handle both both file/printer sharing and internet TCP/IP access.

http://www.wown.com/j_helmig/wfw311.htm

Therefore the files required are different, the files can be downloaded here:

http://downloadfinder.intel.com/scripts-df/Product_Filter.asp?ProductID=407