Note: I have not removed the case because I don't know what I'm doing, so I don't have movement information. Really wish I could do it because it would sure help with dating.
This is one confusing watch. The S/N starts with 6, which originally made me narrow it down to 1926, -36, or -46. However, the box says "27" which could mean 1927. To further complicate things, I've found Bulovas from all three decades, and even from the 50s and 60s, which have a similar style to this one (though the ones from the newer decades seem to have much more modern looking numbers and often show only the even-numbered hours).
Similar watches I've found include the Adelines, the La Petites, and the 1930s Lady Bulovas -- but none of them are exact matches. It seems Bulova made many, many ladies' styles -- and for several decades -- with the rounded square shape and corded band. I don't think I've seen any 1920s Bulovas that use the cord-type band, but the band could have been replaced at some point. Also, the Miss Americas from the 1920s that I've seen tend to have oblong faces.
The watch was handed down through my family. I don't know the original story but interestingly, we have several occasions (births and marriages) that happened around 1926 and 1946 for which this may have been presented as a gift.
Original box reads: " BULOVA - Miss America
27 LADIES
Miss America -C-
6783 WHT.
17J Brac. $35.75 "
The clasp reads "KESTENMADE 1/40 10KT. R.G.P. ST. ST. BACK U.S.A. "
Box is light blue, embossed all over with Bulova signature and central gilt logo. The watch seems to run correctly.