With reference to the attempted 2003 reenactment of the Dec 17th 1903 event.
It would appear that the aircraft was indeed the Wright Experience's 1903 replica air-frame and engine pointed out by megan.
It was quite a rainy day at Kitty Hawk on Dec 17th 2003 so the replica's flight demonstration was somewhat delayed.
If I may quote the witness account of the Editor of " Aeroplane" ,writing in the March 2004 issue p.p.26
"In the end the the weather improves marginally and the Flyer is wheeled out, but there is insufficient wind or engine power for more than a flop off the end of the launch rail. The day long event rather falls apart after this....."