Gayson memorably played Sylvia Trench in the inaugural Bond installment. It was her character who was responsible for Bond's signature catchphrase, teased out in a scene in which Connery as Bond asks for her name. "Trench, Sylvia Trench," she replies, leading to the iconic, "Bond, James Bond."
Comment from Michael G. Wilson and Barbara Broccoli: “We are so sad to learn that Eunice Gayson, our very first 'Bond girl' who played Sylvia Trench in DR. NO and FROM RUSSIA WITH LOVE has passed away. Our sincere thoughts are with her family.” pic.twitter.com/W0UOcDEuZq
Gayson recalled of the scene, "I'd known Sean for years and I'd never seen him so nervous as he was on that day because of all these delays. He had to say Bond, James Bond, but he came out with other permutations like Sean Bond, James Connery... [The director] told me to take him away for a drink — even though he was meant to be on the wagon — so I took him off for a drink or two and he came back on set and said: 'Bond, James Bond.' It was so wonderful. The day took off from that moment."
Gayson's was planned as a recurring character in the Bond series, but the idea was dropped.
She also holds the distinction of being the only Bond girl to appear twice in the series, resurfacing in "From Russia with Love" (1964).