EMS HELI HAS ENG FIRE LIGHT ACTIVATE. BOTH FIRE BOTTLES ARE ACTIVATED; THEN ENG SHUTDOWN AND APCH AND LNDG.

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I WAS ENRTE TO ABC TO PICK UP A PATIENT FOR TRANSPORT BACK TO THE XYZ HOSPITAL. I HAD BEEN IN CRUISE FLT FOR APPROX 6 MINS WHEN THE #2 ENG FIRE LIGHT FLICKERED TWICE; THEN STAYED ON. I SECURED THE #2 ENG IN ACCORDANCE WITH THE RFM; ACTIVATED BOTH FIRE BOTTLES; AND EXECUTED AN ENG OUT APCH TO RWY 22 AT ZZZ; TAXIED TO THE E RAMP AND COMPLETED A NORMAL SHUTDOWN OF THE #1 ENG. IN RETROSPECT; I FEEL I WAITED TOO LONG TO REACT TO THE LIGHT. THE HELI HAS A HABIT OF FALSE FIRE LIGHTS; ESPECIALLY WHEN THE ACFT HAS BEEN SITTING IN WET CONDITIONS. IN THIS CASE; THE ACFT HAD SAT ALL NIGHT IN DENSE FOG. THIS WAS THE FIRST FLT OF THE DAY. WHEN THE LIGHT FIRST BLINKED; I THOUGHT IT WAS A FALSE LIGHT. BUT WHEN IT STAYED ON; I STILL HESITATED BRIEFLY BEFORE I SECURED THE ENG. LESSON #1: BELIEVE ALL LIGHTS AND REACT IMMEDIATELY TO THEM! AS IT TURNS OUT; THIS WAS A FALSE LIGHT. BUT IF IT HAD BEEN REAL; EVEN THE 5 SECOND DELAY OF DISBELIEF COULD HAVE BEEN THE DIFFERENCE BTWN A SUCCESSFUL LNDG AND BIGGER PROBS.