We were recently looking for a new bookkeeper and one of our applicants seemed like he would be a good fit for the business, until I gave him a background check request. He said that he had provided references and would be happy to provide more but didn't see why a background check was necessary. I told him that when it came to handling the financial data of our company and of our customers, prudence would demand that I do a background check on someone who was a complete stranger. Following that answer he withdrew his offer.
Have you ever done a Google search on a name? It's amazing what is in newspaper archives.
Apart from the prudence of doing background checks, Visa and Mastercard require that in order to process their cards, business must follow PCI DSS requirements. (Details here) Vendors who don't follow these requirements, apart from being careless with their customers' information, are risking having their merchant accounts revoked. Part of the standard requires that anyone who handles credit card data be subjected to a background check.