Marked on the mandrel as P. Trumelle (which may be the manufacturer) this simple, plain-turning lathe in French in origin. With a most unusual bed, heavily cut-away under its centre section and with an exceptionally wide and deep gap the designer seems to have given little thought to rigidity. Even the top slide, normally a component made as stiff and well supported as possible is, in this case, perched on a tall post in order to get the cutting tool up to height.
Although there are no leadscrew bearing hangers, the lathe may be one of a series where the better-specified examples had screwcutting - the apron carrying bronze clasp nuts and an engagement mechanism.
If you know anything about its origins, please do make contact.