While returning from a personal cross country flight, the newly certificated private pilot said that the winds picked up and he was blown 30 miles east of his intended course. In addition, he was running one hour over the time allotted for the trip. He landed at Cuba, MO, which was about 20 miles northeast of his destination, to take on additional fuel. There was no one in attendance at the airport, and fuel was available by phone request. He rationalized he had enough fuel to make his destination, so he departed the airport. About 2 miles short of his destination the engine lost power and an emergency landing was attempted. The aircraft struck some trees about 600 feet short of the runway, cartwheeled and was substantially damaged. The pilot had two passengers on board, with a three year old sitting on the lap of the other passenger, with no seat belt restraints for the child. Post accident investigation revealed the fuel tanks to be empty.