AN ACR TWIN JET FLC EXPERIENCES A RWY INCURSION AT ORD; IL.

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HOLDING RWY 9R PAD AT ORD FOR DEP TO LGA. AFTER APPROX 2 HR HOLD; TAXIED BACK TO GATE; INFORMED TWR OF INTENTIONS. TWR GAVE TAXI INSTRUCTIONS; I BELIEVE; TO CROSS RWY 32L AT TXWY M; CONTACT GND OTHER SIDE. CORP JET GIVEN TAXI AND HOLD INSTRUCTIONS AT RWY 32L; INTXN T10. SOME CONFUSION ABOUT OUR TAXI INSTRUCTIONS BECAUSE CORP JET SAID WE ACCEPTED HIS INSTRUCTIONS. CAPT TAXIED TO RWY 32R; INTXN T10. CORP JET ON OTHER SIDE E AT INTXN T10. ACFT STOPPED SHORT OF RWY BUT PAST HOLD SHORT LINE. QUESTIONED TWR. TWR ASKED IF WE WERE ON RWY. WE SAID AFFIRMATIVE AND WERE GIVEN INSTRUCTIONS TO TURN R ON RWY 32L; L ON TXWY M; TXWY M CONTACT GND. NUMEROUS FACTORS CONTRIBUTED: 1) LENGTHY DELAY; 2) TAXI BACK; NOT CONFIRMING TWR INSTRUCTIONS; 3) CORP JET SAYING WE TOOK THEIR CLRNC; 4) COORD WITH RAMP ABOUT OUR RETURN TO THE GATE; 5) TALKING ABOUT RETURN TO GET OUR EFC TIME; 6) DISPATCH ABOUT TOPPING OFF FUEL TANKS. CORP WAS GIVEN A HOLD SHORT OF RWY 32L; INTXN T10 AND WE PROCEEDED TO TAXI CLR WITH NO CONFLICTS. TO HAVE PREVENTED THIS SIT; ALL WE WOULD HAVE TO DO WOULD BE TO DEVOTE OUR PRIMARY ATTN TO THE CURRENT JOB AT HAND; WHICH WAS TAXIING THE AIRPLANE BACK TO THE GATE. WE WOULD HAVE CONFIRMED OUR TAXI INSTRUCTIONS AND THIS WOULD NOT HAVE HAPPENED.