In 1959, a photographer using film outside on a sunny day might have encountered a light level of 10,000 lux, and that would have translated to an exposure of 1/60 at f/16, with film rated at the then standard ASA of 60.
That would have yielded a target density on the negative.
Then in 1961, the standards people came to the decision that the target density on the film was too dense. They changed that standard in order to aim at a lower density.
The new target density was the density one achieved with one stop less light. To accomplish that, they changed the speed rating system. The former ASA 60 film was re-rated at ~125. To attain the new target density with the same light, the camera settings needed to be changed by one stop - 1/125 at f/16.
Sunny 16 still worked. The resulting negatives were the ones that had the target density. Its just that a "proper" negative density changed in 1961.