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There is no Southbend tag on it.
Should be a serial number stamped into the top of the bed at the right end. That will tell all.I had a 1934 405-Y "Workshop" model for more than 40 years. This one looks like a model 15 or 415 because it has the reverser for the lead screw. Mine did not. I needed to insert an extra gear to change the feed direction or to make left-handed threads.
Does the centre of those oilers press inward against a spring? If it does then push inward with the spout of an oilcan and give a squirt!
The serial number stamped in the bed is; 6445NCR8
The actual SN would be 64458Gene