Nothing illegal about prospective employers trading information. So, no, no liability.
That's a blanket authorization for anything and everything from anywhere. Though, even without that authorization, there might only be restrictions on credit checks. Anything that's not protected by law is fair game. And I know of no laws that prohibit prospective employers from sharing information voluntarily provided by a prospective employee.
There's an HR person here who can shed more light on that. Stay tuned.

