Multiple totally separate Accounts with the same name

Multiple totally separate Accounts with the same name

Our Accounts are newspapers.  There are a few common names (e.g. The Courier, Daily News, etc.) that are used by several totally different newspapers.  How do I set these up.  There are combinations of fields that are unique.  OR since I am converting from Goldmine, I have unique Goldmine ID's.  Could I use these somehow?