Here's something fun.

Apparently the Apple II emulator AppleWin can get online using the Contiki OS. Here's the emulator:

http://applewin.berlios.de/

And here's disk images of Contiki OS compiled for Apple II:

http://www.a2retrosystems.com/downloads.htm

And here's the instructions for getting online:

http://applewin.berlios.de/Uthernet.txt

My understanding of those instructions is that I need to get another IP address from my ISP. I don't really want to pay for that. But... the idea looks pretty cool.

I did try Contiki OS in the emulator. Pretty cool!