The pilot departed Presidents Isle, TN with about 1/4 tank of fuel (3.5 gal) and proceeded en route with a planned stop at Wynne, AR for fuel. Prior to reaching Wynne, heavy rain was encountered and a landing was made at a private airport near Parkin, AR. The pilot let the engine run for about 15 minutes while waiting for the rain to subside, then finally shut the engine down. About 1 hr later, the pilot took off from the private strip. About 1/8 mile from the strip, the aircraft stalled and crashed. An investigation revealed that there was about 1 pint of fuel remaining in the fuel tank. There is no evidence of fuel spillage or leaks at the accident site. The fuel pickup point was located on the forward 1/3 portion of the tank. Reportedly, the fuel lever in the tank would have been the pickup point during a climb with only 1 pint of fuel remaining.