Probably from the 1950s and manufactured by Burchardt Maschinenbau of Neukölln, in what was the western sector of Berlin, this little 50 mm centre height Model DU-01 bench lathe was virtually unknown outside its native land. Burchardt was a small manufacturer of the 1950s and 1960s who also build bigger "Leit and Zugspindel" lathes (with a 180 mm centre height) and a number of different metal-sawing machines
Arranged for underdrive the lathe is mounted on a vertical bar that sockets into a cast-iron plinth with tunnels front and back to allow clearance for the round drive belt. The 10 mm bore headstock spindle runs in adjustable bronze bearings with the M20-threaded nose taking made 10 mm collets with an 8mm thread. The 300 mm long, cantilevered square-section bed is of rather slender proportions in comparison with the main castings and reminiscent of 1800s practice. As was common with this class of lathe two tailstocks were provided, one for ordinary centres and the other for the use of collets - in this case from the headstock - and one of them would originally have been lever-operated.  Although intended for watch and clockmakers' use detailing on the compound slide rest looks comparatively crude with the micrometer dials having widely-spaced markings and coarse knurling.
If you have a Burchardt lathe, or know anything of the company, the writer would be interested to hear from you.