Any idea what this is?

[kjazz1958]

No markings. I am not sure if the white veneer is bone, or what.

[allenhopkins]

Hmm...slotted headstock suggests European manufacture. The white veneer could be plastic (celluloid?); quite a few US-made instruments got "mother of toilet seat" Pearloid fingerboard and headstock overlays.

Beyond that, I'll defer to the more expert responders.

[Ray(T)]

Zero fret - definitely European. Not sure how original the white plasic and scratchplate are though.

[vic-victor]

Reminds a Czech-made Cremona to me. Possibly customized by someone creative.