Thank you for posting your watch. The case reminds me of a Black Hawk or American Clipper but these did not come in 14kt gold cases. I am coming up empty. Also could you clarify the two tone description. The case looks to be 14kt Pink Gold with a yellow gold bracelet. Normally we would classify this as a Pink Gold watch.
The gold coloring being rose/coral/red is also what I'm thinking. Always exciting to see a solid gold case.
Seeing similarities in the Peacemaker, but at $45 I don't hink it can be the same watch. Solid gold would be worth more.

Ok scrap the Peacemaker, that is indeed gold-filled and not solid gold.
I've not found a match, so for now I'm at Unknown.
The Pacemaker sure looks like a match except the gold case. I checked to see if the Pacemaker came in both gold filled and sold gold but found not ads. Unkown for now.
1945 Bulova Unknown