Linksys Wireless Router :: WRT110 - Internet Connection Dropping?

Set up: Router: WRT110 1 computer connected via ethernet cable 1 computer using a wireless nic card from cisco
 
The problem is thus: if the first computer is actively using the internet (even activities as mundane as browsing one's email) the computer connected wirelessly will lose its connection to the internet yet maintain its connection to the router. Both can be actively using the internet, but the wireless will seemingly at random drop internet access (usually in 30-120 minute intervals).
 
The computer connected via the ethernet cable was unplugged for a week and during that time the wirelessly connected computer was used extensively and did not lose connection once.
 
I don't understand how to even frame this problem in a concise manner, much less seek information as to how to resolve it. It's seemingly giving all priority to the computer connected via ethernet but I that's just intution speaking.