Final answer:
Al Capone's headquarters remained in Chicago during his reign as a crime boss. The query lacks detail for a definitive answer on a move of headquarters, but the Hawthorne Inn was associated with his operations.
Step-by-step explanation:
Al Capone, infamously known as "Scarface," led a vast criminal operation during the Prohibition era, with headquarters based in Chicago. This operation, widely referred to as the Chicago Outfit or the Chicago mafia, expanded into various illegal activities such as bootlegging, gambling, and more. Capone was eventually convicted of tax fraud and was famously imprisoned, serving time in Alcatraz. However, regarding the move of his headquarters from Chicago, the question seems to lack necessary details to pinpoint a specific location. Capone did control various establishments, though, and the Hawthorne Inn became associated with his operation, although it was not a relocation of his main headquarters.