What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
(-23) On 10/18/2007 at 1525Z cruising at an altitude of FL370 the flight crew of aircraft N750CK declared an emergency to ztl due to smoke in the cockpit. At that time the crew requested vectors to the nearest airport and made an emergency descent for lgc Lagrange ga. According to the statement made by the pilot in command the smoke increased "despite our efforts to we could not stop or decrease the smoke coming into the cockpit" the pilot further stated that "visibility in the cockpit was almost nil." They descended in IMC conditions with rain and turbulence using the standby instruments at the top of the panel due to visibility in the cockpit. N750CK landed without incident and the occupants exited the aircraft without injury. Inspection of the number one engine revealed oil covering the thrust reverser and the liner of the tail pipe. Engine serial number P102133 was sent to landmark aviation GW4R221M for repair and a rental engine installed. Initial troubleshooting indicated a carbon seal and/or bearing failure caused oil 1 to enter the pressurization system. The PIC stated that during the descent there were no indications of engine problems.
As the FAA filed it
(-23) ON 10/18/2007 AT 1525Z CRUISING AT AN ALTITUDE OF FL370 THE FLIGHT CREW OF AIRCRAFT N750CK DECLARED AN EMERGENCY TO ZTL DUE TO SMOKE IN THE COCKPIT. AT THAT TIME THE CREW REQUESTED VECTORS TO THE NEAREST AIRPORT AND MADE AN EMERGENCY DESCENT FOR LGC LAGRANGE GA. ACCORDING TO THE STATEMENT MADE BY THE PILOT IN COMMAND THE SMOKE INCREASED "DESPITE OUR EFFORTS TO WE COULD NOT STOP OR DECREASE THE SMOKE COMING INTO THE COCKPIT" THE PILOT FURTHER STATED THAT "VISIBILITY IN THE COCKPIT WAS ALMOST NIL." THEY DESCENDED IN IMC CONDITIONS WITH RAIN AND TURBULENCE USING THE STANDBY INSTRUMENTS AT THE TOP OF THE PANEL DUE TO VISIBILITY IN THE COCKPIT. N750CK LANDED WITHOUT INCIDENT AND THE OCCUPANTS EXITED THE AIRCRAFT WITHOUT INJURY. INSPECTION OF THE NUMBER ONE ENGINE REVEALED OIL COVERING THE THRUST REVERSER AND THE LINER OF THE TAIL PIPE. ENGINE SERIAL NUMBER P102133 WAS SENT TO LANDMARK AVIATION GW4R221M FOR REPAIR AND A RENTAL ENGINE INSTALLED. INITIAL TROUBLESHOOTING INDICATED A CARBON SEAL AND/OR BEARING FAILURE CAUSED OIL 1 TO ENTER THE PRESSURIZATION SYSTEM. THE PIC STATED THAT DURING THE DESCENT THERE WERE NO INDICATIONS OF ENGINE PROBLEMS.