Finding correct positions for the cogs?

If you post on the enthusiast forum suggested, DONT call them "cogs". You might upset the enthusiasts.
The correct term is "wheels".
A cog is a removable tooth, often wood, that is inserted into one of many holes on the periphery of a cast iron or wooden wheel, typically in a windmill. A "cogged wheel", often shortened to "cogwheel".
Often a triumph if engineering in their own right but a world away from the delicate brass brilliance of a fine clock component.

Uhvc
February 2026

There's several enthusiast forums that may well be able to offer advice from knowledgeable enthusiasts. Here's one site I used a while back to understand a nice longcase clock I'd been given. You might well let them see clear, sharp photos of the insides and outside.
https://mb.nawcc.org/

Rhrjr
February 2026