Historically, french territories in a Vichy rules system should be distributed like this…
Germany (or Italy): Paris, Normandy/Bordeaux (6 IPC).
Vichy France: Southern France, Morocco, Algeria, Tunisia, French West Africa, Syria, Madagascar and French Indochina (11 IPC).
Free France: French Central Africa, French Equatorial Africa, New Hebrides (2 IPC).
The French Navy should remain Vichy, considering the treacherous British attack on the French Fleet at Mers-el-Kébir.
Every Vichy territories captured by the allies should be switched back to Free France.
I’m not sure how units could be placed on the map for Free France. Maybe they could be allowed to place directly in French equatorial Africa (or in London!) but could only buy infantry.