Cool old Kay guitar

Several yrs. ago when my Great Grandma died I inherited her old guitar. I remember when I was a kid she would try to play it but sadly she couldn't play very good anymore because she had arthritis in her fingers so bad. I'm not musically inclined but I proudly display Mom's (I called her Mom because she raised me) guitar in our family room. Last week I was watching American Pickers when they happened onto an old guitar that ended up being worth a small fortune. I have searched for the model I have for hrs. and can find some similar but can't positively identify it. I don't expect it to be worth a fortune by any means and have absolutely no intention of getting rid of it but it'd be neat to positively identify it and have an idea of it's value, if for no other reason but to know it's properly insured. What little I know is it's a Kay acoustic archtop and it's real old. From there I'm lost. I've read there should be a # inside somewhere identifying it but I've looked and looked and the only thing I see is a tag that says Kay Musical Instrument Co., Chicago, IL. I've attached several pictures of it and you can see it's in good condition for it's age although it does have a crack on the main body.

Oh yeah, I remember her saying she bought it right around the time my dad was born which was 1940. It's approx. 17" wide at the lowest part of the main body and 12-1/2" wide on the upper part and 21" high. The neck is 17-7/8" total length. The head is 6-1/2" high by 3" wide on the lower part and 2-5/8" wide on the upper part.

Any help is appreciated.