In reply to Steve Parker:
> (In reply to Jimmy D)
> [...]
>
> Nah, that would have to be acoustic-electric, wouldn't it? this is just acoustic, but with a slightly weird shape.
No, there have been plenty of purely acoustic jazz guitars with arch-tops and f-holes, e.g.
http://www.archtop.com/PageMill_Resources/34L5ri2.jpg
What you've got there is a nice looking Jumbo, a design introduced by Gibson in the 30s and favoured in country/rock'n'roll circles (see Elvis, Emmylou Harris, Etc.). I love em.
You should be OK getting a case, as it is a standard shape, albeit one not as popular as Dreadnought, OM etc.