FLC OF A BAE3100 ON INITIAL CLBOUT FROM AN UNCTLED ARPT HEARD ANOTHER PLT ON UNICOM YELL OUT THAT ANOTHER ACFT WAS GOING TO RUN INTO HIM. HE SUBSEQUENTLY STATED THAT HE WAS ON FINAL. THE RPTR DID NOT SEE ANOTHER ACFT IN ADDITION TO THE ONE THEY KNEW OF; ON TCASII OR VISUALLY.

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WE WERE DEPARTING UNV RWY 6. OUR CLRNC FROM ZNY WAS RWY HDG AND 4000 FT AND DIRECT PSB VOR. WE TOOK OFF BEHIND A GA TFC (WARRIOR OR SIMILAR). AFTER TKOF; WE OBSERVED THAT WE WERE GAINING ON THE WARRIOR SO I DECIDED TO TURN 10-20 DEGS L OF COURSE TO KEEP THE WARRIOR IN SIGHT AND GIVE OURSELVES A SAFE DISTANCE FOR CLRNC FROM THE WARRIOR. DURING THE CLBOUT; WE WERE THE ONLY AIRPLANE XMITTING ON 122.8 MHZ; WHICH IS THE UNICOM FREQ FOR UNV ON N96 (BELLAFONTE ARPT). NOBODY WAS GIVING POS RPTS OR ADVISORIES EXCEPT FOR US. ON TCASII WE WERE ONLY SHOWING THE WARRIOR SLIGHTLY OFF THE R SIDE CLBING SLOWLY. AT ABOUT 1000-1500 FT AGL AND WITH A RATE OF CLB OF ABOUT 1500 FPM; WE HEARD A XMISSION ON THAT FREQ THAT STATED SOMETHING SIMILAR TO THIS: 'HEY GUYS; YOU ARE GOING TO RUN INTO ME.' MY FO SAID I STARTED TO LOOK FOR HIM AND ALSO MONITOR TCASII; BUT HE WAS NOWHERE TO BE FOUND. SO MY FO SAID 'SIR; SAY POS AND ALT; WE ARE HDG NE OF UNV AT 3000 FT.' AND THE TFC ANSWERED; 'I'M ON FINAL.' WE NEVER ESTABLISHED VISUAL CONTACT; CONTACTED THE CTR AND WE WERE GIVEN A R TURN DIRECT TO HAR VOR. SOMEBODY ON UNICOM FREQ MENTIONED R TFC FOR RWY 6; BUT WE WERE ON RWY HDG TO AVOID THE WARRIOR. I BELIEVE THAT THE CONFLICT WOULD HAVE BEEN AVOIDED IF THAT PERSON WOULD HAVE USED THE RADIOS THE WAY THE AIM RECOMMENDS AND ADD A LITTLE PROFESSIONALISM ON HIS COM PHRASEOLOGY AND PROCS. HE DID NOT GIVE US A CHANCE TO AVOID HIM. AFTER CONTACTING CTR NOBODY MENTIONED ANYTHING AND THE FLT WAS UNEVENTFUL.