There is a woman in a piper dakota trying to fly over antartica at the moment
Yes, its Polly Vacher from the UK in PA28-236 Dakota
LATEST NEWS:Tuesday 9th December 2003 - POLLY IS NOW TRYING TO REORGANISE THINGS AFTER HER FLIGHT TO McMURDO LAST FRIDAY HAD TO BE ABORTED DUE TO STRONG HEADWINDS, FORCING HER TO RETURN TO BASE. It was the only safe decision she could make in the circumstances.
See
http://www.worldwings.org/
Andy