In large dispatch centers one dispatcher talks to the caller and another listens in and dispatches responders while passing them information which the caller is giving. That way one dispatcher doesn’t have to talk with the caller AND talk to the responders. Confirming the address ASAP is crucial because responders are being dispatched within seconds (though the caller doesn’t know that because they don’t hear the radio traffic from the other dispatcher).
I can understand about getting the address up front, but it sounds to me like the dispatcher almost lost the caller by turning the inquisition back on her. If it was Pasadena TX, the caller would have been close to saying, "Fine. Looks like a robbery in progress, I'll go check it myself with Misters Smith and Wesson."