Sure, it'll be slightly different depending on your operating system how to get there, but in vista you would go to the Network and Sharing Center, View the Status of your connection, Click properties, highlight "Internet Protocol Version 4 (TCP/IPv4)", and finally click properties again to bring you to the IP screen.
I've attached a screenshot of what mine looks like.
The top one "IP Address", is the address for your computer. Your network will have the same first 3 numbers for all it's devices (192.168.11 for me) but the last number is unique to each device. As long as this number is unique, it shouldnt matter what you set it as. If you don't know the first 3 numbers of your network IP, your routers default IP address will be printed on the router itself somewhere, if not, in its manual.
"Subnet Mask": 255.255.255.0 this should be the same for you.
"Default gateway": The IP address of the device that the internet comes through, in most cases your router, and in most cases again; the last number in the IP will be 1; because this is what manufacturers set it as by default.
"Preferred DNS Server" (Dynamic Name Server): This will be the IP of your router again.
Make sure you close all these options before seeing if it works, because your laptop won't connect while they're open. Again, try this with the laptop being hardwired as well if it still doesnt work, good luck
