I know that the band is later than the watch, its patent number 2689450 is from 1954. The watch is from 1945 or 1946.
The closest I could find is https://mybulova.com/watches/1946-unknown-8990. Its fleur de lis connectors to the face of the watch are unique, it's the only one I saw like it.
The back of the watch has the number G305872, which would indicate 1946. Above it is "Bulova 10k Gold Filled." The watch looks yellow gold to me, but if you were to tell me that the pictures show that it's rose gold I wouldn't argue.
The face of the watch only has the word "Bulova," but has all the digits, 1-12, in a curly font.
The inside of the back, as well as the inside of the top, has scratches and dates from jewelers and\or pawn dealers, with the words "Bulova Fifth Ave New York" stamped on it.
The movement says "17 jewels," "Bulova Watch Co.," its model number "6AK," and I think I see a triangle mark right above the watch's stem. But a triangle is from 1945, and its G305872 is 1946. Maybe I'm confusing an innocent mark for the triangle, but I don't see a square with a 46 anywhere on it.
I've considered quite a few that it could have been, I've gone through all of the options in the watches, the ads, and examples on other websites, but none have all twelve hour numbers, and a round face, and absolutely none have the looping fleur de lis\trident\etc shape on the face.
Here are some larger images.
Photo 1 Photo 2 Photo 3 Photo 4 Photo 5 Photo 6 Photo 7 Photo 8 Photo 9 Photo 10 Photo 11 Photo 12 Photo 13 Photo 14 Photo 15 Photo 16 Photo 17 Photo 18 Photo 19 Photo 20 Photo 21 Photo 22 Photo 23 Photo 24 Photo 25
(I apologize if I've done this wrong and/or put too much in.)
It is a sweet watch but unfortunately looks to still be Unknown. The more info the better :-)
1946 Bulova Unknown
Can you confirm that the case is white gold in color? It looks yellow even rose in the photos.
In reply to Can you confirm that the… by mybulova_admin
Sorry, it's definitely not white, as you said it's yellow or rose. Editing it appropriately. I misread it as the color of the face, I guess.
A possible model name we have yet to find is the Bulova Josephine. 17J Coral (red/rose) gold filled.
Matching unknown entry also here: https://mybulova.com/watches/1946-unknown-8990
In reply to A possible model name we… by mybulova_admin
Here is a clearer pic of Josephine, I don't think it is a match.

I'm leaning to Unknown as well. I don't think this one matches to Josephine.
Yeah I have to agree.