Jaeger le Coultre vintage ladies reverso watch - info needed

Hi,
Please can anyone tell me anything about this watch? It was given to me by a family friend over 30 years ago and I think it is Art Deco. I can only post one picture with this message but will happily email others and of better quality than this one to anyone who may know more about it.

It's a rectangular Reverso ladies watch and I'm guessing it's Art Deco or some time around 1920s or 1930s. The back is made of what looks like chrome and the watch itself which flips over is of a gold coloured metal. At the top of the watch face it says Jaeger le Coultre and at the bottom it says Swiss. On the back of the case it says "Patent" and "Acier Staybrite" and it has the number 47939 stamped on the back/case with what I think is C.378 scratched underneath. The strap is a leather (?) thong that feeds through loops on the case and attaches to a buckle at one end and a strap with metal ringed holes at the other; at this end the thong has become detached from the clasps that hold it to the strap so it needs repairing.

I have never dared to wear it and, though I think I wound it up when I got it and it worked, it's been so many years now that I daren't try winding it up again. I would love to know how old it is and what it might be worth.

Thanks in advance,
Bookworm