Hey you can go from the LAN card to your PS2. You need a crossover cable, you can ask any computer store and they should be able to hook you up..
But I highly recommend you get a hub or a switch. and connect them that way, turn on internet connection sharing on your PC and let it hand the PS2 an IP...
Sorry this sound confusing, but its not, once you do it, you will realize....
Me being a network engineer makes this all second nature, but thats why I am trying to help you out too..