I was only able to find one watch with the same dial and hands combination. It was called “Wellington” and was made in 1957. I located it on two sites that contain old Longines catalogs.
https://vintagewatchresources.com/watches/wellington-sweep-automatic/
https://www.vintagelongines.com/brochures/brochure_62/15.jpg
Unfortunately, the listed information for this model shows it as solid 14K gold, and the case is a bit different than yours. Also, it is certain that as a gold filled model, this watch has a U.S. made case mates to a Swiss Longines movement. That’s how it was done in the 1950’s to avoid high tariffs (sounds familiar?).
The only way to get more information is to get the movement serial number to confirm the manufacture year and try to find another watch with the same combination of dial and case.
You can try to peruse the websites below for a better match.
https://www.vintagelongines.com/#history
https://vintagewatchresources.com/production-year/
The Longines factory is not going to be of much help here. Their extract will just give you the movement production year and say it was sent to the USA.
Good luck with your search,
gatorcpa