They are very nice guns.
I have a Savage take-down model in .300 Savage. The serial # is 310XXX identifying it as having been produced in 1928. As I said, it's a take-down, has straight grip, no checkering, curved schnabel tip. Has a Redfield peep drilled and tapped into the rear, left side of the receiver, a blank installed in the rear sight dovetail, and a long blade sight with bead installed in the integral ramp on the tip of the barrel.

Near as I can figure it is one of the following ... a model 99B or a model 99E.

One other thing, it has an "M" stamped on ther front of the receiver just above where the lever pivot-screw is installed. Reads "M" if looking at it straigght on upright, or "W" if holding the gun upside down.

Buttplate looks like this, but with more finish