UNAUTH RWY ENTRY OP. WRONG RWY TKOF ATTEMPTED AT CLE.

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LAST LEG OF LONG FLT DAY (7:50 SCHEDULED; 4 LEGS; ALREADY LOGGED 7:00 HRS DOMESTIC FLT TIME); 11TH HR OF 12 HR DUTY DAY; NIGHT. CREW MADE COMMENTS OF BEING TIRED. PF: FO. CAPT TAXIING ACFT ONTO RWY. CAPT FAMILIAR WITH ARPT. FO RECENTLY UPGRADED (6 MONTHS EARLIER) AFTER 6 YRS AS FE; HAD BEEN TO CLE LESS THAN 6 TIMES AS FO. CLRED TO FOLLOW 2 COMMUTER ACFT TO RWY 23 BY GND CTL. FOLLOWED ACFT; DETERMINED TKOF WOULD BE IN SHORT PERIOD OF TIME. WHILE TAXIING; STARTED 3RD ENG AND COMPLETED TAXI CHKLIST SIMULTANEOUSLY. SOMEWHAT RUSHED. BOTH COMMUTER ACFT DEPARTED RWY 23L (THE LONGER WAY). CAPT'S EARPIECE FELL OUT AND CAPT WAS FUMBLING WITH EARPIECE WHEN TWR CLRED ACFT TO 'CROSS RWY 23L; CLRED FOR TKOF RWY 23R.' CLRNC WAS READ BACK CORRECTLY BY FO; BUT CAPT WAS STILL FUMBLING AND ONLY HEARD CLRNC ON CABIN SPEAKER. FO WAS DOING DUTIES AND HEARD CLRNC FOR RWY 23R; (AND WAS FAMILIAR WITH ARPT); BUT HEARD ANOTHER CLRNC GIVEN LATER; BUT NOT ITS CONTENTS (IT WAS FOR A LNDG ACFT); AND ASSUMED OUR CLRNC HAD BEEN CHANGED. CAPT TAXIED ONTO RWY 23L LINED UP; AND TRANSFERRED CTL OF ACFT TO FO. FO KNEW WHAT RWY WE HAD BEEN GIVEN CLRNC FOR; AND WAS ACTIVELY TRYING TO ASCERTAIN WE WERE ON THE CORRECT RWY. HE DID NOT SAY ANYTHING TO CAPT; THINKING HE KNEW WHICH RWY WE WERE ON; AND WHAT RWY WE WERE CLRED TO DEPART. FO DID NOT REALIZE CAPT THOUGHT WE WERE CLRED TO TKOF ON RWY 23L. TKOF ROLL WAS STARTED AFTER LINING UP ON RWY 23L; TWR CANCELED TKOF CLRNC AFTER APPROX 50 FT OF ROLL. PROB FROM FO STANDPOINT: DEP ENDS OF CLE RWYS 23L; 23R; AND 28 ARE ALL VERY CLOSE TOGETHER. CLEVELAND IS NOTORIOUS FOR THIS AND FO WAS AWARE OF THAT. HOWEVER; THIS MAY HAVE BEEN THE FO'S FIRST TKOF FROM RWY 23 AT NIGHT; AND HE THOUGHT THAT RWY 28 WAS RWY 23L AND THE ACFT WAS ON THE CORRECT RWY (23R). HE EVEN CHKED THE MARKERS THINKING HE WAS ON THE CORRECT RWY; AND WHEN THE CAPT LINED UP ON RWY 23L HE ASSUMED THE CAPT KNEW WHERE HE WAS (AS INDEED HE DID)! THIS WAS A CLASSIC CASE FROM START TO FINISH. LONG DAY. TIRED CREW. CREW MEMBER DISTRACTED. NEW FO. NIGHT. HURRYING CHKLIST. CLE TWR CONTRIBUTIONS TO SIT: CLRING BOTH COMMUTERS TO TKOF FROM RWY 23L THEN IN 1 INSTRUCTION CLRING US TO CROSS RWY 23L; CLRED FOR TKOF RWY 23R. SUGGESTIONS: CREW VIGILANCE; OF COURSE. BUT ALSO; TWR CLR INTO POS BEFORE CLRNC FOR TKOF FROM RWY 23R WOULD BE SUGGESTED. RWYS WERE PROPERLY MARKED; BUT PERHAPS MORE EMPHASIS ON WHAT RWY IS WHAT BEYOND THE LEGAL MINIMUMS IS APPROPRIATE. FOR EXAMPLE. RWY 23L IS MARKED ON THE RWY; BUT RWY 28 IS AN INTXN AT THIS POINT WITH NO DESIGNATION ON THE SURFACE; AND RWY 23R HAS A DISPLACED THRESHOLD; SO 23R PAINTED ON THE RWY IS NOT VISIBLE. ALL IN ALL; A CLASSIC CASE OF NUMEROUS SMALL PROBS COMBINING INTO A POTENTIALLY LARGE ONE. CONTRIBUTING FACTORS BY ALL CREW MEMBERS AND THE TWR CTLR. SUPPLEMENTAL INFORMATION FROM ACN 265336: WHAT CAUSED THE PROB STARTED DURING PUSHBACK FROM THE GATE. GND TOLD ME THAT THERE WOULD BE A SLIGHT DELAY WHILE THEY FINISHED LOADING BAGS; SO I DECIDED TO GREET THE PAX OVER THE PA. I NO SOONER PICKED UP THE MIKE TO SPEAK WHEN GND CALLED TO SAY THEY WERE READY FOR PUSHBACK. THE TUG GAVE US A JOLT AND DIED. GND CALLED TO SAY THAT THEY WERE GOING TO HAVE TO GET ANOTHER TUG; SO I PICKED UP THE PA MIKE AGAIN TO TALK TO THE PAX. AGAIN; ANOTHER JOLT FROM THE TUG; THIS TIME WITHOUT WARNING. I PICKED UP THE MIKE TO TALK TO GND; BUT HAD TURNED DOWN THE SPEAKER; THEN TURNED IT UP TOO LOUD WHILE TALKING TO GND. SQUEAKS AND SQUALLS OVER THE SPEAKER. I WAS MAD. TOLD THEM TO STOP PLAYING WITH THAT TUG AND GET ANOTHER. I THEN PICKED UP THE PA AND PROCEEDED WITH THE ANNOUNCEMENT; BUT THE FLT ATTENDANT WAS NOW SPEAKING. OUR CHIEF PLT WAS ON BOARD AND I WAS EMBARRASSED ABOUT THE PUSHBACK AND THE GOOF. I WAS MADE AT MYSELF. WE WERE TOLD TO TAXI TO RWY 23L AND FOLLOW THE 2 ATR'S AT THE END OF THE RWY. MY GLASSES BECAME ENTANGLED WITH MY HEADSET AND IN ANGER WITH MYSELF RIPPED MY HEADSET TO MAKE MATTERS RIGHT. JUST THEN THE CLRNC TO CROSS RWY 28 AND TKOF ON RWY 23R CAME. THE FO; WHO HAS LESS THAN A MONTH IN THE R SEAT; HEARD AND READ BACK THE CLRNC. THE FE WAS BUSY WITH HER TKOF FLOW AND DIDN'T HEAR THE CLRNC. WHEN I PUT MY HEADSET BACK ON I HEARD TWR CLR A PLANE TO LAND ON RWY 23R AND THE 2 ATR'S HAD TAKEN OFF ON RWY 23L; SO THAT'S WHAT I DID -- LINE UP ON RWY 23L. WRONG! A HUNDRED SMALL MISTAKES LEAD TO A BIG MISTAKE.