For local private network is reserved the range 192.168.x.x. The adresses: 192.168.0.0 and 192.168.0.255 you should not use. The Ips 1.1.1.0 and 1.1.1.1 are internet adresses and used in Australia, this is a Class A netwok and can be used for 16.777.214 hosts in 128 networks.
If you set up a home network then use 192.168.0.1 and 192.168.0.2 and so on, try to stay in a Class C network, use for 254 hosts with a mask of 255.255.255.0.
PS. 10.0.0.0 - 10.255.255.255 and 172.16.0.0 - 172.31.255.255 are also private netwoks and not used in the internet
I am reading "direct cable between the two boxes" ? I think you need a special cable, the normal network cable working only if you connect the two boxes with each other over a switch or hub.