A B737-300 CREW; ON APCH TO BNA; LANDED ON THE WRONG RWY.

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SHOT APCH TO RWY 2L AND LANDED ON RWY 2L RATHER THAN RWY 2C; WHICH WE WERE CLRED FOR APCH AND LNDG. APCH CTL TOLD US TO EXPECT RWY 2C. WE BRIEFED THE APCH FOR RWY 2C. FO TO FLY AND LAND; CAPT TO MONITOR APCH ON HUD (HGS). ON VECTOR TO FINAL; FO PUT ILS FREQ FOR RWY 2L INTO HIS NAVAID. CAPT STAYED ON VOR FREQ TO PROVIDE DME. I WAS ALSO CONCERNED ABOUT 2 TCASII TARGETS THAT SEEMED RELATIVELY CLOSE (BEHIND US). APCH CTL CLRED US TO SHOOT THE RWY 2C APCH; CAUTION FOR LARGE FLOCK OF BIRDS. I ENSURED RADAR WAS ON TO ASSIST WITH WX AND POSSIBLY BIRD AVOIDANCE. APCHING GS INTERCEPT; I PLACED THE FREQ INTO CAPT'S ILS NAV; TO MATCH THE FREQ BEING USED TO FLY THE APCH BY THE FO. MY CRITICAL MISTAKE WAS TO NOT IDENT THE ILS FREQ. ALTHOUGH I WAS AS DISTR BY TCASII; BIRDS AND WX; I NEGLECTED TO XCHK ILS FREQ IDENT THE FREQ. WE BROKE OUT ABOUT 500 FT AGL AND LANDED ON THE ONLY RWY THAT WAS STRAIGHT AHEAD AND IN SIGHT. UPON TOUCHDOWN; I REALIZED WE WERE ON RWY 2L INSTEAD OF RWY 2C. I RPTED IT TO THE TWR FOR SAFETY SAKE. TWR SAID THEY KNEW AND NO PROB. I CALLED TWR ON THE TELEPHONE. THEY SAID THE APCHS TO RWY 2C AND 2L ARE TOO CLOSE TO NOTICE IF ACFT ALIGNED WITH WRONG RWY. THEY DID SEE US VISUALLY; UPON BREAKOUT OF THE WX; AND DECIDED TO LET US LAND BECAUSE NO CONFLICT EXISTED. THE TWR SAID THEY WERE PLANNING NO ACTION AND IT WAS A NON-ISSUE. THE BNA TWR MADE THE CONSCIOUS DECISION TO LET US LAND RATHER THAN ISSUE A GAR. LESSONS LEARNED: DISTRS INTERFERED WITH PERFORMING MY JOB; BY ME NOT IDENTING CORRECT ILS FREQ. ENTIRE EVENT WOULD NOT HAVE OCCURRED IF I HAD PERFORMED MY JOB SAFELY. I WISH BNA TWR COULD HAVE MONITORED OUR APCH BETTER. SUPPLEMENTAL INFO FROM ACN 537412: BRIEFED INST APCH FOR RWY 2C AT BNA; BUT FLEW AND LANDED ON RWY 2L. FAILED TO PUT IN CORRECT ILS FREQ FOR THE PROPER RWY. CORRECTIVE ACTION: DOUBLECHK ILS FREQ WITH APCH PLATE AND DO A BETTER JOB TUNING AND IDENTING THE PROPER FREQ.