Ubuntu Networking :: ICS Through A Windows Server From A 10.10 Client?

I have a wireless router situated in another room. I am able to access this router (and consequently the internet) through a Windows laptop that has a wireless card in it. However, my other laptop that has Ubuntu 10.10 installed on it, doesn't seem to have a wireless card in it, and I have confirmed this by running the commands

Code:
lspci
and
Code:
iwlist scan

I briefly was able to share a folder in my Windows machine, and access it through my Ubuntu machine, after connecting both laptops with a cross-over cable. However, I can't even ping the Windows machine from my Ubuntu machine anymore, after trying to configure the IP addresses. I think I screwed it up.

Also, although this is not an Ubuntu issue, I have a weird Windows problem, where I can't access the Internet when both wireless and wired ethernet controllers are active at the same time. It would be a bonus if you could solve this problem too for me. I was surfing online for a solution to this problem for quite some time, but I was unable to comprehensively understand and implement what I browsed through. Also, some of the guides, like for example, that on configuring Samba, seem to be outdated, as the terminal tells me something like the package (that was required to be installed by the guides through sudo apt-get install) has been superceded. Hence I post here for clear, concise and easy-to-understand help from you gurus. It would be great if I could achieve the end result of being able to access the internet on my Ubuntu machine (through the Windows one).