E135 CREW HAD A TCASII RA DEPARTING HIO ON THE FARMINGTON THREE SID IN HIO CLASS D.

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CLRED FOR TKOF BY HIO TWR AND ADVISED OF CESSNA TURNING 15 DEGS R OFF TKOF (RWY) HEADING. I OBSERVED THIS ACFT TURNING E AWAY FROM ARPT. AFTER LIFTOFF AND CLEAN-UP CHKLIST TWR RPTED LOW ALT HELI COMING IN FROM W. AS I INITIATED L TURN ON FARMINGTON SID; GOT A TCASII RA WITH 'DSND.' AS I BEGAN LOWERING THE NOSE; WHILE LOOKING FOR THE PREVIOUSLY RPTED HELI THE RA SWITCHED TO 'CLB' AND MY FO RPTED A CESSNA TYPE ACFT ON HIS SIDE AND SAID TO KEEP TURN GOING. I WAS NOT ABLE TO SEE THIS ACFT SINCE I WAS IN THE L SEAT IN L TURN. TCASII WORKS! WE RPTED EVENT TO TWR. NOT SURE IF THE CESSNA WAS THE ONE WHICH WAS LAST SEEN HEADING AWAY FROM THE RWY OR A THIRD UNIDENTED ACFT NOT TALKING TO TWR. SUPPLEMENTAL INFO FROM ACN 557578: WE TOOK OFF FROM HIO RWY 30 ON THE FARMINGTON 3 DEP; CLRED TO 4000 FT. AT APPROX 1200-1500 FT MSL WE HAD A TCASII ALERT (TA) SHOWING TFC OFF OUR R SIDE. WE WERE IN THE L TURN AT THIS TIME. THEN TCASII GAVE AN RA (DSND) AS WE STARTED TO COMPLY THE TCASII SWITCHED THE RA TO A CLB COMMAND. WE KEPT THE TURN TO THE L AND COMPLIED WITH THE TCASII RA (CLBED). ONCE CLR OF THE CONFLICT WE ADVISED HIO TWR OF THE TCASII ALERT.