I happened across this page
and thought others might find it interesting. Tips for getting the game working for online play.
Our version has preconfigure network host - client
menu start -> GOG.com -> Master of orion 1 + 2 -> Master of Orion 2 -> Network
There one player choose Host and others choose client. Host needs to give others his IP and then he choose Multiplayer -> Network -> start new game
Clients input into console CONNECT host.ip.address
Then they also choose multiplayer - connect network and choose Muptiplayer -> Network -> join game
Have fun everyone! :)
Thanks GoG dudes! This is why the DOS version is superior.