thanks for the added information. I feel the list is complete.
However, I am under the opinion that Paul is the same than Napoléon. We don't find a baptism for Paul, while all other children' baptisms are known.
Also, when Paul got married in 1903, the priest in St-Louis-de-France noted that he had a "liberty" certificate for him from the "curé" Fournier from Wild Rice, North Dakota. In the USA, it is very possible that Napoléon choose to call himself Paul.