TXWY INCURSION AT IAH; TX. NON STANDARD TAXI ROUTING IN USE DUE TO CLOSED RWY.

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DUE TO THE ABNORMAL OPS IN IAH; A NEW FLOW WAS CREATED FOR TAXIING. RWY 15L WAS CLOSED. THIS OCCURRENCE OCCURRED IN THE MORNING. IAH WAS LNDG AND DEPARTING RWY 26 AND RWY 27. AN ACR LANDED RWY 26 AND WAS PARKING ON THE S RAMP. NORMAL TAXI INSTRUCTIONS WOULD BE 'NF' R ON 'NA' L ON 'WE' CALL S RAMP AT THE BASE OF THE OLD TWR. UPON EXITING RWY 26 ON 'NF' WE WERE GIVEN THE FOLLOWING BY AN IMPATIENT GND CTLR: 'NF' TO 'NA' TO 'NE' R ON 'WC' L ON 'WA' L ON 'WF' CALL S RAMP AT 'WF.' THIS INSTRUCTION WENT RIGHT PAST MY RELATIVELY NEW FO. AFTER AN IMPROPER READBACK; THE CTLR RATTLED THE TAXI INSTRUCTIONS AGAIN. OUR NORMAL TAXI RTE WAS BEING USED BY OTHER ACFT AT SPOT 2 TO TAXI 'WE' TO 'NB' TO RWY 26. AFTER WE TURNED ON 'WC' WE TURNED ON 'WB' INSTEAD OF 'WA.' I THOUGHT IT LOOKED TIGHT TO GET AROUND ACFT AT SPOT 2 TAXIING ON 'WE;' I SLOWED DOWN PAST 'WD' WELL SHORT OF 'WE.' THE CTLR ADVISED US WE WERE ON THE WRONG TXWY AND TOLD US TO CONTINUE. WE WERE NEVER IN ANY DANGER OF ANY OTHER TFC. CONTRIBUTING FACTORS WERE ABNORMAL GND OP DUE TO RWY 15L BEING CLOSED; IMPATIENT GND CTLR TALKING TOO FAST; NEW FO; EARLY MORNING WAKE-UP FOR THE CREW.