This quaint is not from the 1960's. It's early, possibly Pre-War, but no way to know for sure. The carving style is consistent with some of the earlier quaints.
This logo stamp was also in use in the 1940's as well, though not common after the war. The "Made in England" stamp might have been added later by JJ Fox. No way to know that either. Barling didn't consistently use the "Made in England" stamp and why this would have been added on the shank is anyone's guess. Given that the JJ Fox stamp takes up a good deal of real estate on the shank, placing the "Made In England" stamp would have been difficult.
Some of my early pieces show a wide variation in stamping placement and orientation. On one of my pipes the dealer stamp was angled diagonally on the shank so that it would fit.
JJ Fox did have a shop in London and may still have one there. It's one of England's oldest tobacconists. They used to have a Barling museum in the London store.