Incidentally, as a biochemist I've spent many years evaluating the contribution of Rosalind Franklin to the discovery of the DNA Helix. I've spoken about it publicly, in academia and even on television. As the years pass, the recognition of her work has steadily increased and she's certainly not been forgotten.
Nevertheless, at the end of the day, you have to remember that Franklin died in 1958, four years prior to the award being given to Crick, Watson, and Wilkins - posthumous awards are forbidden. She was no longer eligible.