What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
(-23) Aircraft was climbing out of 5,000 feet, 7 miles southeast of okc on the 130 degree radial when the right (#2) engine fire light illuminated. The pilot immediately pulled the #2 engine to flight idle and asked the first officer to declare an emergency. Okc approach told the pilot to make a right turn, direct to the airport and land on any runway. The captain saw that the fire light was still illuminated but since he was only 7 miles from the airport, he elected not to shut the engine down or press the button that shuts off the fuel and hydraulics. He arms the extinguishing bottles as the engine fire checklist states. Upon landing on 35L the pilot turned right onto echo taxiway and stopped the aircraft, at this time the #2 engine quit running. The pilot shut down the #1 engine and the rest of the aircraft systems then ordered an evacuation on the taxiway.
As the FAA filed it
(-23) AIRCRAFT WAS CLIMBING OUT OF 5,000 FEET, 7 MILES SOUTHEAST OF OKC ON THE 130 DEGREE RADIAL WHEN THE RIGHT (#2) ENGINE FIRE LIGHT ILLUMINATED. THE PILOT IMMEDIATELY PULLED THE #2 ENGINE TO FLIGHT IDLE AND ASKED THE FIRST OFFICER TO DECLARE AN EMERGENCY. OKC APPROACH TOLD THE PILOT TO MAKE A RIGHT TURN, DIRECT TO THE AIRPORT AND LAND ON ANY RUNWAY. THE CAPTAIN SAW THAT THE FIRE LIGHT WAS STILL ILLUMINATED BUT SINCE HE WAS ONLY 7 MILES FROM THE AIRPORT, HE ELECTED NOT TO SHUT THE ENGINE DOWN OR PRESS THE BUTTON THAT SHUTS OFF THE FUEL AND HYDRAULICS. HE ARMS THE EXTINGUISHING BOTTLES AS THE ENGINE FIRE CHECKLIST STATES. UPON LANDING ON 35L THE PILOT TURNED RIGHT ONTO ECHO TAXIWAY AND STOPPED THE AIRCRAFT, AT THIS TIME THE #2 ENGINE QUIT RUNNING. THE PILOT SHUT DOWN THE #1 ENGINE AND THE REST OF THE AIRCRAFT SYSTEMS THEN ORDERED AN EVACUATION ON THE TAXIWAY.