More here with picture of the location...
http://www.nytimes.com/2008/10/30/world/middleeast/30david.html?em
From that site...
“What he has found so far has impressed many. Two burned olive pits found at the site have been tested for carbon-14 at Oxford University and were found to date from between 1050 and 970 B.C., exactly when most chronologies place David as king. Two more pits are still to be tested.”