OPERROR LTSS BTWN AT42 AND AN SF34 ON CONVERGING COURSE WX DEV. DSCNT CLRNC TAKEN BY AT42 INTENDED FOR THE SF34 BUT NOT ACKNOWLEDGED.

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ENRTE FROM MVG TO EWR WE WERE APCHING SOME WX OVER PVD AND REQUESTED A 270 DEG HDG AFTER WAITING A FEW MINS TO MAKE THE REQUEST WITH ATC WHO WAS GIVING ADVISORIES ABOUT THE WX TO A SAAB 20 MI AWAY. ATC SUGGESTED A 360 DEG TURN WOULD WORK BETTER FOR HIM AND KEEP US CLR OF THE WX. WE ASKED IF THAT HDG WOULD WORK WITH BOS ARR TFC AND THE CTLR SAID IT WOULD AND WOULD KEEP US OUT OF THE WX. SHORTLY AFTER TURNING TO A 360 DEG HDG; ATC ISSUED A TA AND IMMEDIATELY GAVE US A TURN TO 270 DEGS (TIGHT TURN IMMEDIATELY) AND DSCNT TO 7000 FT. AT THE SAME TIME WE RECEIVED AN RA ON THE TCASII TO DSND; WHICH WAS FOLLOWED BY A MONITOR VERT SPD; AND THEN CLB. WE FOLLOWED THE RA AND HAD STOPPED THE DSCNT AT 7600 FT. THE TFC WAS 12:30 - 1 O'CLOCK AND 2 MI AND QUICKLY PASSED. ATC THEN GAVE US A 360 DEG HDG AGAIN AND SAID TO CLB TO 8000 FT; THAT THE DSCNT HAD BEEN FOR ANOTHER ACFT. (BOTH THE CAPT AND MYSELF WERE SURE THE DSCNT WAS GIVEN TO US WITH OUR CALL SIGN AND AT FIRST AT LEAST WAS IN AGREEMENT WITH THE TCASII.) AFTER THE RA WAS CLRED AND WE WERE ON A 360 DEG HDG; THE CTLR WAS VERY HELPFUL IN POINTING OUT THE WX AND GIVING US PIREPS FROM OTHER ACFT IN THE AREA. CONTRIBUTING FACTORS: ATC FREQ WAS VERY CONGESTED WITH ACFT WORKING AROUND WX; WITH SIMILAR CALL SIGNS. WORKLOAD OF THE CTLR; WX; TSTMS; IMC; CONGESTED AIRSPACE; AND NO VISUAL CONTACT WITH THE OTHER ACFT (POSSIBLY 2 OTHER ACFT).