The bank said the only way they could stop the unsolicited debit was to freeze the entire account.
To answer your question, the original theft was detected prior to the move. I noticed it while undergoing an SF-86 review. (thats a standard national security personell security evaluation) and they revealed that two of the credit agencies reported me as living in or having lived in a state that I have never lived in.
I opened a new account after an explination of things to them and we have gone as far as they will not accept my driver's license or social security card as identification. Instead we utilize a government ID card and its associated number.
I have tried to contact the company whose phone number was listed on the transaction (Since it came through as a telephone purchase)and all I get is voicemails, regardless of which option I select.
My previous discussions with the SSA in my former state of residency did not result in a SSN change. Hopefully the new round of problems will persuade them to change their opinion.
The company in question (per the phone number) is Cash Today Limited.