Landeron 186 vs Valjoux 88

If you have a photo of the Nicolet movement, it should be pretty easy to distinguish between Valjoux and Landeron. Just the shape of the balance cock alone might do it. It might be possible to tell just from the layout, but I don't know those particular movements well enough.

I could be wrong, but I believe that UG movement is based on a Martel movement, and perhaps even made by Martel for UG.