TXWY INCURSION BY AN A300 FLT CREW DURING AN ANTICIPATED RWY CHANGE DUE TO WX FACTORS AT JFK; NY.

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WE WERE INSTRUCTED TO HOLD SHORT OF TXWY N VIA TXWY B. WHILE INITIALLY HOLDING SHORT OF TXWY N; WE AWAITED A B747 TO PASS BY; AT THE SAME TIME AN ACFT HAD JUST GONE AROUND DUE TO A WINDSHEAR AND THE AIRFIELD WAS IN THE PROCESS OF A RWY CHANGE DUE TO A FRONTAL PASSAGE. THIS LED TO A DISTR IN THE COCKPIT RESULTING IN US PASSING BY TXWY N BY A SHORT DISTANCE. WE INFORMED ATC WHERE WE WERE AND HE SAID HE DID NOT REMEMBER GIVING US CLRNC PAST TXWY N. HE ASKED US TO TRANSITION ONTO TXWY A TO RWY 13L. WE COMPLIED WITH HIS INSTRUCTIONS AND HE HAD US CONTACT TWR. SUPPLEMENTAL INFO FROM ACN 617073: DURING TAXI TO RWY 31L AT JFK; GND TOLD US TO TAXI L TXWY B; HOLD SHORT AT TXWY N. WE TAXIED OUT AND A FRONT WAS VISIBLY ENCROACHING THE ARPT. VISIBILITY WAS DETERIORATING. AFTER HIS PASSAGE; NO OTHER ACFT WAS IN SIGHT ON THE ENTIRE S HALF OF JFK ARPT AT EARLY AM. THE CONVERSATION WAS FOCUSED ON MAKING A MAX PWR TKOF AND IF WE HAD THE DATA TO REVIEW FOR THE RWY CHANGE AND I NOTICED WE SLOWLY CREPT PAST TXWY N. WE ASKED GND IF WE SHOULD CONTINUE AND HE REPLIED; 'I DON'T REMEMBER GIVING YOU CLRNC TO PASS TXWY N.' I ACKNOWLEDGED OUR ERROR. CONSTANT VIGILANCE IS NECESSARY REGARDLESS OF THE HR AND REGARDLESS IF THE ARPT APPEARS TO BE A GHOST TOWN.