Help with IDing a no-name manual from the late 50s(?)

Really sorry to bother everyone, but I am having trouble finding information about this watch. Please also excuse the poor photo quality---I scrubbed the internet for days, and only came up with this pic.

I recently had this watch stolen. It was formerly my grandfather's (of course), and I had worn it every day for the past fifteen years or so. I really want to replace this watch as exactly as I can.

The picture is from a finished sale where, sadly, the seller posted scant info. Only that it was a d&a case, 34mm, and gold-filled. And of course, manual wound.

I don't have much more solid information beyond that. I never really looked into mine, but it was probably gold plated. My gramps bought it (in Los Angeles) during a time when he was downsizing and trying to fund his daughters' college educations. When I got it fixed, I didn't get the impression that the repair man was overly impressed. I'd always heard this was a sort of mass produced, low-end omega.

But I just haven't been able to find much or anything about it. I get the feeling it may have been one of those semi-generic models that slipped through the cracks. It was incredibly thin after all. My best guess is that it was manufactured sometime between 1955 and 1964.

I really loved and adored this watch. Any information whatsoever be greatly appreciated. Thanks for reading, and lmk any questions.

Thank you. This is incredibly helpful. Good to know---at least---that there's not much I'm missing, and this will just be mostly a brute force search. thanks again for the info. I'll start plugging it in.

I'll be sure to post anything I find that's close. So far not much. But I'll get there. Good tip about the dials. I'm going to read up a bit.

I wish the dirty thief would have ransomed the watch to me, instead of probably melting it down for $14 of gold.