The handwritten letters are from 1949, when Taylor was engaged to William Pawley Jr, who was in his 20s and the son of a wealthy American businessman and ambassador.
But none has been so revealing as this.
She became interested in ballet at an early age and trained as a dancer until deciding to switch to theatre.
Crouched down, the star looked confident and happy as she posed for the shot.
The picture was taken by one of her closest friends, actor and photographer Roddy McDowall The picture was taken by one of her closest friends, actor and photographer Roddy McDowall.
It is understood to be the first time the photo has been shown publicly.