This one is a bit of a puzzle. The dial is unique and paired with a center sweep second hand suggests the need to time some event in seconds. That's a pretty unusual attribute for a 1930's women's watch; as well as a black face for contrast of numbers in a time period when most women were "housewives" and male dominated society and marketing would likely determine women "didn't need or want" such a feature.
I agree the case is likely the same as used for Rona, band appears to be Dolly Madison.
I have to wonder if this is an unknown "Nurse" watch?
It looks a lot more military themed than the norm. I'm willing to bet that if it's an all original watch, it didn't sell well or for very long.
Thinking outside the box, it could have been a special order run (like later era award watches with company logo face) for a hospital and presented to staff as a service award. Just a thought.
Slim possibility it's a masterful marriage, but I doubt it.
At present, for me this is a very unusual and attractive 1939 Unknown - possible Nurse/medical.