Can anyone identify this antique motorized bike?

[Ludwig II]

Racer, of St Etienne. The frame looks similar to the Salmson, perhaps one supplied the other, or they both bought in from outside.

 

[bairdco]

Yeah, I saw those. There's also this Follis print that looks like it swoops, but I can't find a real bike with it.

 

[Ludwig II]

I wonder if it was Avalette first, and went through l'Avalette to become Lavalette.

https://www.amicalegnomerhone.net/gazettes/gaz43/