Well, Dross, here we are with the information I could scrape together:
I tend to agree (I choose my words carefully as I am not really that experienced...) that this is a pond yacht produced by Alexander Greiner, Steinach, Thuringia. The company was founded already in the 19th century and by 1925 this was a well-known producer of pond yachts and wooden toy boats, that exported their products to many countries, including Britain and the US.
This looks like a Model 378, it should be about 32cm long (but the length varies slightly). It is complete with all original fittings, just the boom for the jib is missing (but the brass clamp seems to be there - important, as it fixes the forestay. So, if you drew a small security pin and lifted the bowsprit from the clamp, you could fold away mast and rigging for your hike to the next pond...).
The broken mast and the booms can easily be replaced, the boom for the mainsail is fixed by a small wire hook to a ring at the mast. If I see this correctly, this small pin is still hanging from the ring...!! The red tip of the mast seems to have been a AG or AGE (Alexander Greiner Export) hallmark. But the real hallmark (a golden "G" on a red shield) is also visible on the bow, if I am not mistaken.
Rigging, well... A problem, as most of the surviving boats were re-rigged in their lives (perhaps several times) or show improvised jury-rigs.
In the photo of my 378 above showing the un-restored state, you see that the jib is directly attached to the boom and the mast and thus serves as the forestay, a simple solution that seems to be the original one. But I feel that the jib cannot be adjusted well, so I have rigged a real forestay. Please excuse the coarse red lines, I haven't found the time yet to replace them by more appropriate ones...
I see that your boat has still one of the original red "bowsies" (I love that word) attached to the port side shroud! Ingenious little things that help to tighten the rigging easily.
If you need practical advice for the restoration of such boats, I recommend
https://www.birkenheadstaryachts.co.uk, especially the self-help section.
You will realize that Star Yachts and Greiner yachts bear some resemblance, I don't know, if Greiner perhaps produced hulls for Star of Birkenhead (Triang sold Kellner yachts from Leipzig und their own name...). Well, there were quite similar boats made by other East-German makers, e.g. Emil Bayern from Hämmern, Thuringia. And now I must stop before I get carried away...
I add a (bad) copy of a photo from "Deutsche Spielschiffe / Toy Boats of Germany", by Claude Bernard and Karl Greiner (!), catalogue edition, Weltbuch-Verlag 2021. C. Bernard seems to be the top expert in this field.
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