French Light Infantry?

[ancientsociety]

Planning on doing a DLI (Divisions Legere d'Infantrie) company for a FOW Early War tournie, however I'm unsure how to proceed. I can't seem to find Table of organization for this and I'd like it to be as accurate as possible (I'm terrible that way).

The Blitzkrieg book has a "Fusillier Light Infantry Company", but the closest approximation it lists is simply DI and it's listed with so many other different company organizations (DIM, DIA, Active, Reserve, etc.) that's it's nearly impossible to figure out what goes where. Through research, I've been able to figure out BACA and GRDI assignments to DLIs, but nothing on DLIs specifically. 

Can anyone tell me or link to what a DLI consisted of? Or give me some ideas?