In the photo....which is he? I know you mention he was a cook, but if is in uniform in the photo he may not be.
Also, was he killed in service?
The catering corps did not exist at the time this photo was taken, so he would be part of the parent regiment:
The army Catering Corps did not exist as a separate Corps in the Army until the 1st January 1965 when it was granted the status of an independent Corps in its own right, under the direction of the Quartermaster General. Until then the Catering Corps had been under the control of the Royal Army Service Corps since its formation on the 22nd March 1941 under Army order 35 of 1941. Prior to that, the Regiments had their own cooks, some of whom were trained in one of the two cookery schools which existed in Aldershot and Poona in India.
Which makes things harder really, 'cos he may have been at the cookery school prior to going on to his own regiment!
Pete