A319 FLT CREW DEPARTED SFO FROM RWY 1 INTXN H RATHER THAN TXWY M AS ASSIGNED BY ATC.

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WE TAXIED ONTO THE RWY AT INTXN H; INSTEAD OF FULL LENGTH; AS ASSIGNED BY SFO TWR. TAXIING OUT TO THE RWY ON TXWY B; TWR CLRED US FOR TKOF; RWY 1L. CLOSE TO ABEAM TXWY H; THERE WAS ANOTHER ACFT HOLDING FOR TKOF FACING THAT INTXN. I WAS FINISHING UP THE CHKLIST AND LOOKED UP AND SAW A SIGN ON OUR L THAT INDICATED RWY 1L. I ASKED THE CAPT; 'ISN'T THAT RWY 1L ENTRYWAY?' HE HAD BEEN LOOKING IN THE OPPOSITE DIRECTION AT THE ACFT HOLDING TO OUR R. HE SAW THE SIGN THAT I POINTED OUT AND SLOWED THE ACFT AND ENTERED THE RWY WHERE I INDICATED. TWR THEN CALLED AND ADVISED 'FLT XXX; YOU ARE ON RWY 1L AT INTXN H.' WE VERIFIED THIS. WE THEN COMPUTED NEW TKOF DATA FOR THIS INTXN. WE TOOK OFF WITH NEW DATA FOR THE INTXN TKOF. FACTORS: ON TAXI OUT; THE CAPT'S MAP LIGHT BURNED OUT. ALSO; IRONICALLY; THE CAPT'S ACP INDICATOR LIGHT BURNED OUT. SO; HE ONLY HAD AVAILABLE THE DOME LIGHT FOR ILLUMINATION. THIS PUT HIM AT A DISADVANTAGE IN THAT HE COULD NOT VERIFY TAXI RTES UNLESS HE TURNED THE DOME LIGHT WAY UP. OF COURSE THIS RESULTED IN DECREASED OUTSIDE VISIBILITY; AS IT WAS DARK. WHEN I QUERIED HIM; HE TRUSTED THAT I WAS LOOKING AT THE ARPT DIAGRAM AND WAS CERTAIN OF OUR ORIENTATION. I SHOULD HAVE TAKEN INTO ACCOUNT THAT HE WAS OPERATING WITH A HINDRANCE AND PAID CLOSER ATTN TO TAXI RTES IN REF TO THE ARPT DIAGRAM. FACTORS: EQUIP LIMITATIONS -- FAILED ILLUMINATION DISTR (ACFT HOLDING FOR RWY). POOR ORIENTATION BY ME LONG TIME ON DUTY 10 HRS. AT THE END OF THE DUTY DAY; WE ADMITTED TO BEING LESS ALERT DUE TO FATIGUE.