In the case with crossover cable there is no automatic DHCP which means that ip numbers for both computers has to be set up manually. For example on can be 192.168.1.222 other can be 192.168.1.223. Seems that you have figure out that.
Now the most important thing is to make one of them to share connection:
1) Graphically you can click on Network Manager and edit connection to make it sharable.
Other way
2) Use terminal CTRL-ALT-T and make one of them route for example type:
Code:
sudo route add default gw 192.168.1.222 eth0
on computer with 192.168.1.223 if this is the one with Internet connection.
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