AN ALLEGED HEADING TRACK DEV BY AN LGA BOUND EMJ FLT CREW IS BROUGHT TO THEIR ATTN BY AN N90 ASSOCIATE CTLR WHEN THE ACFT IS 18 NM W OF JFK; NY.

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DURING FLT FROM CMH TO LGA WHILE WITH NEW YORK APCH CTL AN ATC MISCOM OCCURRED. THE FO WAS THE PF AND THE CAPT WAS THE PNF. WHEN WE CHKED IN WITH NEW YORK APCH THEY TOLD US TO EXPEDITE DSCNT TO 4000 FT AND TURN L 080 DEGS. THE FO INITIATED THE DSCNT AND TURNED THE ACFT. THE CAPT THEN GAVE ATC RADIO DUTIES TO THE FO AND HE CALLED COMPANY. DURING THE DSCNT NEW YORK AGAIN TOLD US TO DSND TO 4000 FT. THE FO RESPONDED TO THE RADIO CALL. AS WE APCHED THE VARAZONO BRIDGE CAPT COMMENTED THAT IT LOOKED LIKE WE WERE GOING TO JFK. THEN A SECOND CTLR CALLED US TO TURN L 020 DEGS AND 3000 FT AND SCOLDED US AND TOLD US WE WERE GIVEN DIRECT LGA 6 MI EARLIER. CAPT RESPONDED WITH NEW CLRNC AND OK TO 6 MI COMMENT. FO AND CAPT DISCUSSED ATC CLRNC AND FO DID NOT HEAR DIRECT LGA IN EARLIER ATC XMISSION. WE COMPLIED WITH ALL ALT CLRNCS. SUPPLEMENTAL INFO FROM ACN 583388: I TOLD THE FO TO TAKE ATC #1 RADIO WHILE I WOULD CONTACT LGA OPS ON #2 COM RADIO TO INFORM THEM THAT OUR FLT ATTENDANT HAD JUST TOLD US THAT WE NEED A WHEELCHAIR UPON ARR. AFTER DOING SO; I RESUMED ATC COM DUTIES. MY FO WHO HAD 20 YRS WITH MIL; DID NOT RECALL ATC TELLING US TO PROCEED TO LGA IN AN EARLIER XMISSION.