TXWY AND RWY INCURSION BY THE PIC OF SF-340 DURING A DAYLIGHT TAXI OP AT PHL; PA.

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PHL GND CTL ASSIGNED OUR FLT TO TAXI FROM SPOT 12 TO 27L VIA ECHO WITH A HOLD SHORT OF RWY 27R. INSTRUCTIONS WERE REVIEWED WITH THE CAPT ACCORDINGLY (CAPT ACKNOWLEDGED THE RTE CLRNC AND WAS FAMILIAR WITH THE TAXI RTE ASSIGNED). FOR UNKNOWN REASONS THE CAPT UPON LEAVING SPOT 12 ENTER TXWY H; WHICH INTERSECTED WITH RWY 35. BEFORE I WAS ABLE TO CATCH THE ERROR OUR FLT ENTERED RWY 35. (THIS WAS MY FIRST FLT AS A CREW MEMBER OPERATING AND DEP FROM PHL INTL ARPT). I WAS UNFAMILIAR WITH ARPT AND TAXI RTES. TO CORRECT PROB: DO NOT RELY ON THE OTHER PLT TOTALLY. INDICATING THEY KNEW THE RTE. (HAVE MY OWN SIT AWARENESS BEFORE THE ACFT MOVES). OTHER PLT REPORTED TIRED/FATIGUED. AT TIME OF INCIDENT NO HAZARD OR NO CONFLICTS TOOK PLACE BETWEEN OUR FLT OR ANY OTHER ACFT. NO FURTHER ACTION WAS REQUESTED OF THE TWR GND CTL OTHER THAN NEW TAXI INSTRUCTIONS. SUPPLEMENTAL INFO FROM ACN 543522: TAXI CLRNC; TAXI E; HOLD SHORT RWY 27R. TAXIED ON TO RWY 35 FROM HOTEL 1 TAXI; I SHOULD HAVE TURNED R AT ECHO; BUT CONTINUED TO AND TURNED ONTO RWY 35. I CONSIDERED HUMAN PERFORMANCE AND JUDGEMENT TO BE THE PROB. DUE TO SIX DAYS ON DUTY WITH 24 HRS REST (AVERAGING 29-30 HRS IN 7 DAYS FOR 3 WEEKS).