A B737-3OO WAS GIVEN AN ORD O'HARE TWO RNAV DEPARTURE BUT THE FMC DID NOT HAVE THE RNAV WAYPOINTS. THE CREW INCORRECTLY ENTERED THE WAYPOINTS LAT/LONGS AND HAD A TRACK DEV AFTER DEPARTURE.

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ORD CLRNC DELIVERY PROVIDED AMENDED FULL RTE READBACK CLRNC OVER RADIO. CLRED VIA THE OHARE TWO DEP. THE NEW CLRNC WAS THE 'OHARE 2; EARND; ELANR; EMMLY; ETAME; EMEGE; FLM; JOHNS 1 ZZZ. THIS CLRNC WAS VERY OUT OF THE ORDINARY FOR OUR OPS IN AND OUT OF OHARE. ALL THESE FIXES WERE RNAV FIXES. THE ONLY FIXES IN OUR FMC DATABASE WAS ETAME AND EMEGE. WHEN I ADVISED THE OTHER FIXES WERE NOT IN OUR DATABASE AND REQUESTED OHARE2 THEN ETAME; EMEGE; FLM; JOHN'S 1 ZZZ WAS NOT GRANTED. I TOLD THEM WE WOULD NEED LAT/LONG FOR EACH AS THEY WERE NOT DEPICTED ON MAP. I THOUGHT HE WOULD GIVE IN THEN MODIFY TO MY REQUEST BUT STARTED GIVING ME LAT/LONGS. UNFORTUNATELY WHEN HE READ OFF THE LAT/LONG FOR EARND I WROTE DOWN AND READ BACK N4152.5 W08734.3. EARND IS ACTUALLY N4125.5. THE TRAP WAS SET FOR ERROR NOW. THE POINTER POINTED TO EARND AND APPEARED TO BE IN THE GENERAL CORRECT DIRECTION SE OF ARPT BUT HAD NO DEFINITIVE CHART; RELEASE; DOCUMENTATION; PUBLISHED LAT/LONGS; OR SCALE TO ASSESS THIS ACCURATELY. ALL FIXES ON HIGH CHART 4 WERE JUST DEPICTED WITH NO DEFINING RADIALS OR DME. WE TOOK OFF RWY 22L AND VECTORED TO AT LEAST 3 DIFFERENT HDGS AND THEN CLRED DIRECT TO EARND. OUR BEARING TO EARND WAS SHOWING TO THE NE OF OUR PRESENT POS AFTER THE VECTORS AND TURNED TOWARDS IT. ATC SHORTLY ASKED IF WE WERE PROCEEDING DIRECT EARND AND WE RESPONDED YES AND ASKED FOR VERIFICATION OF WHAT THEY SHOWED. THEY SAID THEY SHOWED EARND TO THE S OF US AND ISSUED A TURN TO AROUND 180 DEGS FOR EARND. I THEN NOTICED THAT ON THE OHARE 2 THAT ONLY EARND WAS DEPICTED AND UNDERNEATH IN SMALL PRINT WERE THE PUBLISHED LAT/LONGS. I THEN COMPARED THEM TO THE PROGRAMMED LAT/LONGS AND SAW THE ERROR THEN. WE GOT A CLRNC DIRECT TO ETAME SKIPPING ELANR AND FELT COMFORTED KNOWING THAT FIX WAS STRAIGHT FROM THE DATABASE. ATC STATED THERE WAS NO PROB WITH THE MOMENTARY NAV ERROR. WHEN OHARE DEP SAW US ON RADAR TURN N INSTEAD OF SE TOWARDS EARND THEY GAVE CORRECT HDG TOWARDS EARND. FOLLOWED VECTORS UNTIL CLRED TO FMC FIX THAT WAS IN DATABASE. REMAINDER OF FLT UNEVENTFUL. WE SHOULD NOT ACCEPT CLRNCS WITH FIXES THAT DO NOT HAVE PUBLISHED ASSOCIATED LAT/LONGS. WE ARE TOTALLY DEPENDENT ON RISKY VERBAL RADIO COM CONTAINING LENGTHY NUMERICAL DATA WHERE BY JUST 1 NUMBER IN THE LAT/LONG BEING OFF COULD RESULT IN A MAJOR NAV ERROR. FORTUNATELY OURS WAS WITHOUT INCIDENT. ALL RNAV FIXES SHOULD PUBLISH THE LAT/LONGS ON ASSOCIATED CHARTS.