CentOS - May 2013 - 6.4 on old PC not connecting

On an old server (Dell PowerEdge SC1420, now without RAID) 
    I have CentOS 6.4 installed, up, and running -- but it 
    keeps failing to connect for some reason ....
   
        NetworkManager applet 0.8.1 runs blue rings around in the 
   panel for a while, then reports itself disconnected. It also 
   offers a pseudo-choice, if I right-click, between Wired 
   Connection and eth0; in fact, the cable to the router is the only 
   connection the machine has or has ever had.
   
        I've tried such things as I could find to get a 
   connection, in vain. I've tried replacing the cable.
   
        If there's a good fix, I'd like to get my wife running CentOS, 
   because it's one obvious choice for her to have against such time 
   as I'm gone. (I don't at all claim to be the Oldest Subscriber, 
   but I am at an age such that I would be irrational not to plan for such 
   contingencies.)

	What new way can I try to get this beast online?
-- 
Beartooth Staffwright, Neo-Redneck Not Quite Clueless Power User
Remember I have precious (very precious!) little idea where up is.

On Sat, 18 May 2013 20:46:10 +0000 (UTC)
Beartooth wrote:
> What new way can I try to get this beast online?
If it shows eth0 in the networkmanager window, then it appears that it can see
the ethernet card.

What is the output from ifconfig?

What does /var/log/messages say when you are trying to connect?

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