The Cloches du Jura was a Westminster rearrangement used by Fabrication Louis Girod & Cie. throughout the 1930's and later on.
It can best be described as a very quick way to arrange an alternative chime without stretching the manufacturing budget.
There were other French chimes composed in the same manner and were largely forgotten as the years went by.
It is often misnamed because most people don't use the alternative chimes anymore.
The 'actual' Ave Maria as implemented by French companies stems from the chorus at Lourdes cathedral.