A B737 FLT CREW SAW THE CARGO FIRE DETECTION LIGHT ILLUMINATE DURING PREFLIGHT. IT WAS A FALSE ALARM; BUT THEY DID NOT WANT TO DEPART UNTIL THE SYSTEM WAS FIXED. THEY ENCOUNTERED SOME PRESSURE FROM COMPANY PERSONNEL WHO WANTED THE FLIGHT TO OPERATE.

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WHILE ON THE GND IN ZZZ; THE CARGO FIRE DETECTION LIGHT ILLUMINATED AND THE FIRE BELL BEGAN TO RING. WE TRIED TO SILENCE THE BELL AND THEN WE DISCOVERED THE ONLY WAY TO SILENCE THE BELL WAS TO PULL THE CIRCUIT BREAKER BEHIND THE FO'S SEAT. THE FO THEN CHKED TO MAKE SURE THE CARGO COMPARTMENT WAS NOT ON FIRE. IT WAS NOT. WE THEN CONTACTED MAINT VIA DISPATCH. WE WERE THEN TOLD WE WOULD HAVE PARTS COMING FROM ZZZ1. IN THE MEANTIME; WE WERE ASKED SEVERAL TIMES BY THE AGENTS IF WE WOULD FLY THE ACFT WITH NO BAGS IN CARGO COMPARTMENT. I SAID NO. IT WAS AT THIS POINT THAT ONE OF THE AGENTS BECAME IRRITATED WITH ME FOR SAYING NO. THIS CONTINUED FOR THE BETTER PART OF 4 HRS WITH VARIOUS PLEAS TO TAKE THEM TO ZZZ1. I EXPLAINED MY DECISION SEVERAL TIMES TO AT LEAST 3 DIFFERENT AGENTS. PARTS TO OUR ACFT WERE TO BE FLOWN FROM ZZZ1 TO ZZZ VIA; I BELIEVE; ANOTHER ACR. THEY DID NOT MAKE IT DUE TO A WX DIVERT. IT WAS AT THIS TIME WE BEGAN TO MAKE ARRANGEMENTS TO GO TO THE HOTEL. THERE WILL BE MORE TO THIS RPT FORTHCOMING IN THE NEXT FEW DAYS. THE LONG AND SHORT OF IT IS; I WOULD NOT FLY THE AIRPLANE TO ZZZ1. THE AGENTS IN ZZZ WERE VERY UNHAPPY WITH OUR DECISION.