B737-800 CREW WAS ADVISED OF A PAX MEDICAL EMER IN PROGRESS IN THE ACFT.

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MEDICAL EMER ON ACFT AND MISSED STROHS XING RESTR. PAX GOT SICK. FLT ATTENDANT GAVE OXYGEN FROM 'POB' TO HIM. I NOTIFIED 'SOCC' IMMEDIATELY. I HAD THE FO FLY AND TAKE CARE OF ATC WHILE I DEALT WITH THE MEDICAL SIT. A MEDICAL DOCTOR AND 2 EMER ROOM RN'S VOLUNTEERED TO HELP WITH THE PAX. I HAD THE FLT ATTENDANT GET ALL THE INFO SHE COULD SO I COULD PASS IT ON TO CONTRACT MEDICAL. I ALSO HAD THE HEART PADDLES STANDING BY IN CASE THE DOCTOR NEEDED THEM. WE WERE READY TO DIVERT INTO PNS; MOB; OR MSY IF NEED BE. THE DOCTOR AND NURSES FELT IT WAS OK TO PRESS ON TO IAH. THE CONTRACT DOCTOR ALSO SAID IT WASN'T NECESSARY TO DIVERT AT THIS TIME AND TO CONTINUE ONTO IAH. DISPATCHER SAID HE WOULD HAVE EMT'S AND PARAMEDICS STANDING BY IN IAH. PAX'S VITALS WERE STABLE AND NORMAL. DURING ALL OF THE COM GOING ON; I HEARD ZHU TELL OTHER ACFT THAT THEY HAD AN INBOUND MEDICAL EMER. SO I ASSUMED THEY WERE AWARE OF OUR SIT. WE LANDED UNEVENTFULLY AND TAXIED TO THE GATE. EMER PERSONNEL WERE THERE WAITING FOR US. WE USED 3 POB'S; MEDICAL KIT AND BLOOD PRESSURE KIT. WROTE UP IN LOGBOOK.