unknown model-father's watch-10K rolled gold
I might be the Lone Ranger but for now, I'm sticking pretty close to "Horatio", I get the seconds track discussion but I don't think there's enough variation to dimiss it. (While fully aware that I have been terminally wrong before).
Greg,
I think the Crystal is throwing Us a curve ball.
The image of the Dial (last image) shows the wear marks of the Bezel around the Minute track, which follow one another fairly close.
still at 'UNKNOWN', (I) We need to confirm a Jewel count for 'HORATIO'.
I'm back with Horatio.

Publish it I say!
Subject watch has dial with outter minute track and Horatio dial in ad has inner minute track. Minor, and maybe a dial change. Case sure looks like Horatio. Plains ad is 1937, so it fits nicely.
I'm good with Horatio- maybe with a dial replacement or just a different dial version Horatio than in the ad above.
Edit....Now I don't see the Hortio ad w/ the inner minute track.....I'm pretty sure we have a Horation ad w/ inner minute track, but it's not the ads Fifth posted above. My bad.