A B737 CREW; ENCOUNTERING TSTMS AND TURB; DEVIATED IN EXCESS OF THE CTLR'S CLRNC.

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WE WERE ON A NORMAL DEP CLBING TO AN ASSIGNED ALT OF 17000 FT. WE WERE CLRED DIRECT TO DJB VOR. WE ASKED FOR DEVS R OFF COURSE FOR WX. THE CTLR CLRED US TO DEVIATE R AS NEEDED AND CONTACT A NEW CTLR FOR A HIGHER ALT. AS WE ARE CLBING IT BECOMES OBVIOUS WE ARE NOT GOING TO BE ABLE TO GO TO DJB VOR. WHEN WE CHK IN WITH THE NEW CTLR HE CLRS US TO CXR VOR. THAT IS R OFF OUR TRACK AND IT LOOKED LIKE WE WOULD BE OK WITH THE WX. AS WE ROLLED OUT ON OUR NEW COURSE IT IS OBVIOUS WE ARE GOING TO GO STRAIGHT INTO A TSTM. THE CAPT CHOSE TO CONTINUE OUR R TURN TO GET AROUND THE CELL AHEAD. DUE TO FREQ TFC I COULDN'T TELL ATC WHAT WE WERE DOING. THE CAPT TOLD ME TO GET A HOLD OF THE FLT ATTENDANTS AND HAVE THEM PUT THE BAR CARTS AWAY AND SIT DOWN UNTIL WE TOLD THEM TO GET UP. AFTER DOING THAT I TRIED TO CONTACT ATC TO UPDATE THEM ON WHAT WE WERE DOING. BEFORE I COULD CONTACT HIM HE CALLED US AND ASKED WHAT WE WERE DOING. WE ADVISED HIM AND HE SAID WE HAD ENTERED ANOTHER CTLR'S AIRSPACE. HE THEN WENT OFF LINE TO COORDINATE WITH THE OTHER CTLR (I ASSUME). THE CTLR CAME BACK AND CLRED US TO CXR VOR WHEN ABLE AND TO A HIGHER ALT. WE PENETRATED THE SOUTHERN SIDE OF THE CELL AND WERE KICKED AROUND A BIT. THE CAPT AND I DISCUSSED THIS EVENT AT LENGTH AND DECIDED THE BEST THING WE COULD HAVE DONE DIFFERENTLY WAS TO HAVE GIVEN ATC A BETTER VERBAL PICTURE OF THE WX. HOWEVER THIS WOULD HAVE ADDED CONGESTION TO THE FREQ AND WE WERE NOT THE ONLY ONES IN THE WX. SUPPLEMENTAL INFO FROM ACN 527610: WX REQUIRED IMMEDIATE TURN TO AVOID TSTM CELL AND DUE TO FREQ OF TFC AND COORD WITH FLT ATTENDANTS; WE DID NOT HAVE TIME TO REQUEST FURTHER DEV. DEV R OFF COURSE WAS GIVEN TO FLT XXX WITH PRIOR CTLR AND FLT XXX TURNED 40 DEGS PAST OUR DIRECT ROUTING. CTLR STATED WE INTERFERED WITH OTHER TFC.