If you load the AOL software on to the other computer and set it up using you account details you should be able to run the account on your other computer as long as nobody tries to use the account elsewhere. I am on AOL and i run my account other computers i own with no problems, like i said also long as only one computer is connecte to AOL at a time.
You can network them if you wish, so that both PC's are online at the same time through one connection. Look to AOL's own "Help" forums for advice on how to do this. AOL themselves will not offer advice or information on how to do this, but it will work fine. j.