Just a FYI-

The 1394 Connection is firewire. You don't need that enabled to use wireless. If there is no firewire card on the PC, then you won't see that. (talking about other PCs since you already know there is one in the laptop) Well, unless the wireless card is the firewire... most I've seen are either USB/PCMCIA or integrated.

Also, if the machine has mutliple network cards (such as integrated ethernet port and wireless card) it is possible to have the red x in the bottom right corner multiple times. If you hover your mouse over the network connection with the x through it, it should have one of those "tool tip" show up that will tell you which interface it can't detect a connection for.

If those icons bug you, you can disable them in the properties for the interface. Or, simply disable the network interfaces in network properties if you are not using them.