Our views "period" lighting are largely shaped by the qualities of "period" printing technologies, whatever the gear used. I've done 50s style b&w pin-up shots whose "look" depended on fresnel spots and large panel reflectors. Then there was hair, clothing, props, film choice and digital post-production massaging...
Frankly, lighting is probably the easiest part of the equaton. Research time, shopping for props and "correct" decor and colours, clothing, hair and make-up are crucial to nailing a reasonable degree of authenticity.
The sheen on the model's face suggests she was being slowly baked under some serious wattage.