hi Konyango.
when you did the first test, what type of cable did you use? you're supposed to use a crossover cable if you're connecting 2 PCs directly. and when you say you want to network the computers i assume you want to share the internet connection that you have. well, if that is the case ,then you need another NIC card so that you can proceed or just buy a small switch.
and by the way, your name sounds so much Kenyan!