The case is definitely white gold plate. I have no reason to believe the watch and box belong together, I see this a lot. The watch may have been stored in the box for a long time, and keep in mind the little black insert is removable, but still, it doesn't match any Martha Washingtons I have found.
The ad I included is 1939. The GoT came in either square or round dial, and this is the round dial as noted. Despite the fact that none of the ads list a white gold version, I think it matches thee GoT, the MW is also shown as Yellow in all? cases, and usually square.
Unless the Goddess changed into the MW at some point, by virtue of the colour? But the years in question don't seem to show this.
Still digging in the new ads.
I should also mention that the hands on my watch are not original. It came with gold 'stick' hands, and one of them was so badly damaged, I replaced both with the only Bulova hands I had on hand. The hour hand size is 1.05, and it doesn't match any of my Bulova assortments.
Interestingly, there are a number of Bulova models that use the 6AZ, and the hands are, as you might expect, different for the different models. However, you cannot substitute hands in most cases, becaus the pipe size is also different. That doesn't make it impossible, but does make it a pain, because in order to change the hand style you have to change the Hour wheel and CP. For example, most of my Bulova hands for 6''' are 1.10, and of the half dozen or so 6AZ's I have, they are also all 1.10 or larger. I think I am going to start making note of the hand pipe sizes.