The French owl's name is Rémy.
This, and many other details, Luis revealed in a Q & A on reddit today.
Here is the actual Q & A (or IAMA in reddit parlance):
And here is an excellent summary of the important points he covered:
(This has already been linked under the top-level Duolingo forum, but I'm guessing that some of us only browse the French board so I thought to cover it here as well.)