Re: Unmarked Great Grandfathers Mandolin
Well, US-patent tailpiece, so I doubt European manufacture. Probably acquired it here. Looks like a Chicago-built, early 20th-century instrument, like this American Conservatory by Lyon & Healy. The "scooped out" headstock profile, and the pickguard shape, are quite similar.
Not many ribs in the bowl, and pretty sparse ornamentation, so might be a lower-to-mid-range instrument. Looks like a rosewood "skirt" around the bowl, and mahogany ribs. If you got the rib separation repaired, you could have a decent instrument and a nice piece of family history. Mandolins used to be extremely common and popular; my grandfather played one around 1901, and belonged to a mandolin club of some kind. Immigrants from the Mediterranean area would no doubt get one of the many affordable American instruments as soon as they could.
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