That is an interesting ukulele. Has some features which for me point to it having been made on the mainland, and some which indicate a Hawaiian build. I think that top crack is not so bad and could be easily addressed.
Philips head screws on the tuners so I think they are replacements. A very pretty ukulele....I like it.
I've read where putting a humidifier in will often 'close' close cracks like that? It sure is a pretty uke! If it were new today, it would be right up there with the more expensive brands, I reckon!
One alot like this just completed on ebay......the guy said it was a 1920's harmony. A difference though is that the ebay one the design went right up the headstock. Here's the completed listing:
I found another uke identified as a 20's Harmony uke, but the headstock is different from this. Aside from that one and the one on ebay, which may have been identified based on the listing I found, I can't find any other ukes that have the same build and headstock shape that actually say "Harmony" on them. Could be, though! It's certainly a mystery.
The headstock is different than usual but I'd concur on the Harmony reference... tuners are definitely replacements. It's at least mainland made, and very likely Chicago. The body shape and general styling is totally early 20s high-grade Harmony made for mailorder catalogs.