Unlikely to be a problem with the drivers or hardware on the Vista PC (sorry 1sassylassy). There are a few ways there can be a conflict of IP addresses...
- router has same IP as PC (unlikely but not impossible)
Some routers have IP of 192.168.1.254 others use 192.168.1.1, others may have a 10.0.0.x IP (I generally set up clients with 10.0.0.100, but that's because if I ever have to sort out problems "blind" using the phone, then I remember the numbers... though have now become a bit more used to the 192.168... combinations)
- PC was fixed with an address that has just been used by one of the wireless devices...
The router doesn't know (or care) what address the PC is, and simply allocates addresses within a pre-defined range (so may dish out 192.168.1.10, .11, .12, etc and PC might have been set up as .10 too)
I used to be able to talk someone through the settings on Windows XP without looking at a PC screen, but cannot do the same for Vista or Win 7. I would happily "talk you through" the settings on the Dell if you want.
In essence, you'd need to go in the control panel, networking area, find the network adaptors, choose the ethernet card, and select TCP/IP configuration/ properties.
You may be able to get there from the network icon near the system clock - there's usually 'status' available, which can be used to determine the computer's IP address and some other settings, and may be a 'properties' button (which allows access to the TCP/IP settings).
If you see the settings, there may be a 'radio button' (only one can be enabled) which allows toggling between a manual IP and 'allocated by DHCP' (or 'automatic' or whatever). If using 'manual' the ethernet port's IP address can be defined as 192.168.x.x netmask as 255.255.255.0 and there should be gateway and DNS addresses too.
Switching from manual to automatic should be enough to cure the problem.