Well bummer. Thanks for the tips.
If neither of these computers are the gateway (router to the internet) then you do not need them in the routing table. They will be routed on layer two of the OSI model which means that they will be routed using the MAC address. This is done by using the ARP table. If one of these computers is the gateway the two computers can see each other, but you will not be able to route to the internet.
Hope this helps.
David