B737-300 CREW REQUESTED MAINT EVALUATE AN INBOUND CREW 'INFO ONLY' WRITE-UP REGARDING STABILIZER TRIM SETTING ACCURACY AND A TKOF WARNING HORN.

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IRREGULAR MAINT WRITE-UP. DURING CREW CHANGE IN ZZZ INBOUND CAPT INFORMED ME THAT SHE HAD ENTERED AN 'INFO ONLY' WRITE-UP IN THE LOGBOOK FOR A TKOF WARNING HORN THAT HAD SOUNDED ON THE PREVIOUS TKOF. THE WRITE-UP WAS AS FOLLOWS: 'INFO ONLY: TKOF WARNING HORN SOUNDED AS PWR WAS APPLIED FOR TKOF. STABILIZER TRIM WAS SET IN GREEN BAND AT 5.5 AS CALCULATED. TRIMMED NOSE DOWN TO 5.3 AND WARNING STOPPED.' UPON ARR IN ZZZ1 WE REQUESTED THAT A MECH MEET US TO REVIEW THE WRITE-UP. HE INFORMED US THAT THIS WAS NOT AN 'INFO ONLY' WRITE-UP AND THAT WE HAD AN OPEN WRITE-UP. FURTHER ANALYSIS REVEALED THAT THERE WAS A .5 UNIT DISCREPANCY BTWN THE CAPT'S AND THE FO'S TRIM INDICATORS. WE CHKED THE TKOF WARNING HORN AND DISCOVERED THAT THE CAPT'S TRIM INDICATOR COULD SHOW 5.5 AND THE FO'S TRIM INDICATOR COULD SHOW 6.0 AND THE TKOF WARNING HORN WOULD SOUND. SO; ACCORDING TO THE FO'S TRIM INDICATOR THE SYS WAS OPERATING NORMALLY. WE CONTINUED ON TO ZZZ2 WITH ASSURANCE FROM THE MECH THAT ZZZ2 MAINT WOULD CALIBRATE THE TRIM INDICATORS. THE MECH'S CORRECTIVE ACTION WRITE-UP WAS AS FOLLOWS: 'C/W TKOF WARNING SYS OPS CHK NORMAL PER MAINT MANUAL. NOTED BY MAINT.'