Should you give references?

Your receptionist lets you know that a Dr. Smith is on the phone, and he's checking the references of Jane Miller, a former staffer. You and your employees are thrilled that Jane no longer works for you. She was chronically late, sloppy, rude to patients, and was about to be fired when she quit, ostensibly for family reasons, about a year ago. "What should I tell him? Do you want to talk to him?"