Just host a network game on better computer and launch another client on that comp too and join with that and also launch an client on the other comp for your gf.
Hm. I'm having some problems doing just that. I launch two Dom2 apps and try to connect one to the other, but they're both reading from the same IP address via my router. So the one app isn't receiving from the other. Any advice?
After the server has started. This is the method with connecting to the server with a client on the same computer, maybe it will work in that instance. Otherwise you'll have to go through the entire Router, Opening, Port Forwarding, Firewalls, etc.