As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AT FL390 AIRCRAFT HAD A FIRE WARNING ON THE NR 1 ENGINE ALL CHECKLIST PROCEDURES WERE FOLLOWED AND ENGINE WAS SHUT DOWN. THE RED LIGHT DID NOT EXTINGUISH SO THE PILOTS DECLARED AN EMERGENCY. THE AIRCRAFT LANDED WITHOUT INCIDENT. THE PROBLEM WAS FOUND TO BE FAULTY SENSING ELEMENT. AIRCRAFT WAS REPAIRED AND RELEASED.