Realtek, the maker of the network adapter does not support it, but they pointed me to Nvidia, who provide the drivers for both the network adapter and the video card.
In a quick chat conference, I got the drivers for both and they are now installed and running. I am so happy with Nvidia.
They did warn me that this video chipset would probably not make for the best gaming experience, but that's not unexpected. I ran the system through http://www.systemrequiremantslab.com/
and I am astonished to say it passed!
Still, I may go out and buy a card anyway. Looks like I can pick up a geForce 9500 for about $70.