BE200 PLT HAD A RWY INCURSION AT STP.

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I WAS THE CAPT ON A RAYTHEON BEECHCRAFT B200. WE HAD BEEN VECTORED ONTO THE LOC COURSE FOR RWY 32 AT STP UNDER VFR CONDITIONS. THE ILS APCH WAS UNEVENTFUL AND WITHIN PARAMETERS. THE FO MADE THE LNDG AND ON THE ROLLOUT I ASSUMED CTL OF THE ACFT. THE LCL CTLR ASKED WHERE WE WERE PARKING AND I RESPONDED; 'FBO X.' HE INFORMED ME TO MAKE A L TURN AT THE END AND ACCORDING TO THE LCL CTLR THE TAPE INDICATED THAT HE ALSO TOLD ME TO CONTACT GND. I ACKNOWLEDGED 'L TURN AT THE END.' WE CLRED THE RWY; ACCOMPLISHED THE AFTER LNDG CHKS; AND BOTH SWITCHED OVER TO THE GND FREQ TO MONITOR IT. NOTE: WE FREQUENTLY LAND AND DEPART FROM THIS ARPT; SOMETIMES WE ARE TOLD TO CONTACT GND; MONITOR GND OR STAY WITH THE TWR; WE STARTED OUR DAY ON THIS PART 91 CPR OP FROM TLH WITH LNDGS AT UES AND LSE PRIOR TO STP. AT THESE 2 PREVIOUS ARPTS WE WERE TOLD TO MONITOR GND AND/OR STAY WITH THE TWR. WHILE TAXIING ON TXWY A PARALLEL TO RWY 32 AND MONITORING GND TOWARDS THE FBO BOTH OF US HEARD AND NOTICED A KING AIR COMING OUT OF FBO FOLLOWED BY A G2 WITH WINGLETS OR A G3. WE BOTH COMMENTED WHETHER IT WOULD BE COMING OUT THE SAME TXWY THAT WE WOULD NEED TO ENTER; BUT IT TOOK A R TURN AND FOLLOWED THE PRECEDING KING AIR. JUST AT THAT POINT GND ISSUED THE FOLLOWING XMISSION: 'KING AIR Y HOLD SHORT RWY 27.' THE KING AIR RESPONDED 'I'M TAXIING TO RWY 32 AND NOT NEAR RWY 27.' AT THIS POINT BOTH OF US REALIZED THAT THE HOLD SHORT INSTRUCTION WAS DIRECTED TO US; NOT ACFT Y. WE FOUND OURSELVES XING RWY 27 OR POSSIBLY HAD ALREADY CROSSED IT. AS A MATTER OF HABIT; I BELIEVE I DID TAKE A CURSORY LOOK TO THE L PRIOR TO XING RWY 27. I DO NOT REMEMBER SEEING ANY ACFT. I AM NOW SURE THAT AN ACFT WAS THERE. AFTER XING THE RWY AND CONTINUING ON THE TXWY; CONTACT WAS THEN MADE BTWN THE GND CTLR AND US; I DON'T KNOW WHO CALLED FIRST. AS WE CONTINUED TO TAXI WE LOOKED BACK TOWARDS RWY 27 AND SAW A HIGH WING CESSNA DEPARTING RWY 27. I ASSUMED THAT IT WAS THE TFC FOR WHICH THE GND CTLR HAD ISSUED THE HOLD SHORT INSTRUCTION. AS WE CAME ONTO THE RAMP GND INSTRUCTED US TO CALL THE TWR WHEN WE GOT IN. AFTER DEPLANING THE PAX AND SECURING THE ACFT I CALLED THE TWR. I SPOKE WITH THE LCL CTLR WHO SAID THAT HE HAD INSTRUCTED ME TO CONTACT GND. I RESPONDED THAT I THOUGHT WE WERE TO MONITOR GND. IN REVIEWING THE INCIDENT I HAVE COME TO THE FOLLOWING CONCLUSIONS. 1) THAT A HABIT HAS BEEN DEVELOPED BY MYSELF AND OTHER CREW MEMBERS TO COMPLY WITH MONITORING GND FREQ WHEN TOLD TO DO SO. 2) WE SHALL NO LONGER MONITOR GND FREQS WITHOUT MAKING AN INITIAL CONTACT STATING WHO WE ARE. 3) THAT IF WE HAD DONE #2; WE WOULD NOT HAVE HAD THE MISCOMS BTWN CONTACT AND MONITOR GND. 4) AND; IN THIS CASE; THE GND CTLR MAY HAVE; WHEN TOLD TO HOLD THE KING AIR; WOULD HAVE UTILIZED THE CORRECT N NUMBER. IN CONCLUSION; IN MY ESTIMATION; RWY INCURSIONS ARE NOT INTENTIONAL; THEY ARE HUMAN FACTOR ERRORS. IN THIS CASE; AT LEAST 2 ERRORS OCCURRED. IF EITHER ONE OF WHICH HAD NOT OCCURRED -- WE WOULD HAVE CONTACTED GND OR THE GND CTLR WOULD HAVE SAID ACFT X RATHER THAN ACFT Y; THIS INCIDENT WOULD NOT HAVE OCCURRED. IT ALSO WOULD NOT HAVE OCCURRED IF THE FAA AND ARPT SPONSOR HAD INSTALLED SOME FORM OF VISUAL HOLDING SIGNAGE AT THE INTXN SO THAT THE LCL CTLR COULD ELECTRONICALLY GIVE HOLDING INSTRUCTIONS.