The picture’s caption reads as follows:
“Hazel Court topless, in a still of a lost scene from ‘The Man Who Could Cheat Death’ (1959)”
I can neither verify nor debunk it, but I’m inclined to think it is genuine. As I’m sure you know, there was no explicit nudity in American films in 1959, but this is a British film from Hammer Studios, and this particular still corresponds to a topless scene that is in the movie, albeit with the camera behind her.