I agree, one of the 38,800 dwt class built by Chantiers de l'Atlantique, Saint Nazaire for Esso-Standard SAF. There were four in total, ESSO ALSACE, ESSO BOURGOGNE, ESSO LORRAINE & ESSO PARENTIS. It's not the Parentis, stanchion configuration wrong, ports rather than windows on the midships accommodation etc. Neither is it the Lorraine, stanchions and accommodation layout aft differ considerably from this vessel. That leaves the Alsace or the Bourgogne which looked pretty much identical. However the second word of her name looks a lot longer than "Esso" so I think she's the Esso Bourgogne.
Many thanks for confirming Astra's suggestion.
Do you know, I had a feeling that you would solve the mystery. (Applause)
On the strength of your detective work, I'll re-title the photograph and move it to the Tanker category. (Thumb)
Esso Bourgogne - a photo taken of her from almost the same angle http://www.shipsnostalgia.com/gallery/showphoto.php/photo/57585/title/esso-bourgogne/cat/503 around 1966 in Denmark - where she was a very frequent visitor, until broken up in 1977 at Castellon, Spain.