The Sir Michael Stoute-trained 6-1 winner had previously been held three times this campaign but registered a career-best performance to strike at the July meeting and secure her first top-level victory.
Aidan O'Brien's representative and favourite I Can Fly was third, while Beshaayir, a Group 2 winner at the Curragh last time, was unable to maintain the fractions set up front by Veracious and faded into fifth.
Murphy said: "These good horses are so hard to get on. This is my first Group 1 of the season and I'd like to extend my thanks to Sir Michael and [owners] Cheveley Park.
"The team have done a super job with this filly. I'm really thrilled. She takes her racing well and after things didn't really go to plan at Ascot last time the owners were very kind to let me keep the ride."
An assignment against the boys in the Sussex Stakes at Glorious Goodwood could now loom for Veracious, who was cut to 20-1 (from 33) by Paddy Power.