Here is a portion of the caption for this tambourine on page 215, "The goose's eye is either smaller or missing on those tambourines made later. So, the clearer or more prominent the eye, the earlier the tambourine was made."Chein produced this design in the 1920s, so this particular one was made in the last year or so of production.
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Mark B. Ledenbach's vintage Halloween collectibles blog.