What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
Narrative: the pilot of N29252 was cleared to rw 16 and to hold in position. The pilot read back the clearance. While N29282 was holding in position on rw 16 the tower controller stated "cherokee N29282 cleared to the neil armstrong airport via radar vectors, findley, direct, maintain 4000". The pilot read back the clearance and then commenced to takeoff. When N29282 was airborne the tower controller asked the pilot of N29282 if he was cleared for takeoff. The pilot responded "yes, sir, I believe I was." The tower controller stated, "I don't think you were." Failure to comply with ATC clearance.
As the FAA filed it
NARRATIVE: THE PILOT OF N29252 WAS CLEARED TO RW 16 AND TO HOLD IN POSITION. THE PILOT READ BACK THE CLEARANCE. WHILE N29282 WAS HOLDING IN POSITION ON RW 16 THE TOWER CONTROLLER STATED "CHEROKEE N29282 CLEARED TO THE NEIL ARMSTRONG AIRPORT VIA RADAR VECTORS, FINDLEY, DIRECT, MAINTAIN 4000". THE PILOT READ BACK THE CLEARANCE AND THEN COMMENCED TO TAKEOFF. WHEN N29282 WAS AIRBORNE THE TOWER CONTROLLER ASKED THE PILOT OF N29282 IF HE WAS CLEARED FOR TAKEOFF. THE PILOT RESPONDED "YES, SIR, I BELIEVE I WAS." THE TOWER CONTROLLER STATED, "I DON'T THINK YOU WERE." FAILURE TO COMPLY WITH ATC CLEARANCE.