I got a banknote from French West Africa and it didn't have a ruling authority. As a history nerd, I tried to figure one out. To French Equatorial Africa as well. Should work for the French West African coins/tokens too.
French West Africa:
Second Colonial Empire (????-1895)
Third Republic (1895-1940)
Vichy (1940-1944)
French Equatorial Africa:
Third Republic (1910-1940)
Vichy Franch (1940)?
Free Franch (1940-1944)
Sources:
https://en.wikipedia.org/wiki/French_West_Africa
https://en.wikipedia.org/wiki/French_colonial_empire#Second_French_colonial_empire