Networked

i have made a chatroom but because it was running on another server it doesn't work 24/7. i want to make a multiplayer game with just 2 players not on the same computer but connected by a NETWORK not the internet.

i am thinking it will work the same but i won't be able to use xml or php or anything on the server side because it is local.
this means however i get it to work it should be working all the time.

all i need to know is what Class i should look into.
if you recommend any of the following classes, please explain how because i have tried all of these:

loadVars
localConnection

i am using actionscript 2.0