From a little-known company based in Liverpool, England, this 9" x 123" gap-bed, backgeared and screwcutting lathe was typical of mid to late 19th century practice. Much of the firm's advertised 'output' was stationary steam engines and boilers, as well as a number of machine tools. What is obvious is that Jones and Burton were not manufactures but dealers and distributors who specialised in marketing and badge engineering - a good number of their engines have been recognised by steam experts as being by well-known manufacturers of steam plant. Jones & Burton appear to have exported mainly to Latin countries, e.g. Spain and Latin America, especially Brazil.   
Of generally light construction, the lathe shown in the colour photographs below had a flat-topped, V-edged bed, coarse-pitch unguarded backgears and changewheels with the power cross-feed generated from a back-of-bed power shaft through worm-and-wheel gearing. Spindle end thrust was taken on an outrigger plate, leaving little or no room for a decent spindle bore. However, in this case the plate was cleverly extended downwards to double as a mounting to carry the tumble-reverse assembly and its associated lock nut. The bed was relatively short in height and, like those from most competing manufacturers, swept down in a curve under the large, detachable gap piece to introduce yet more unwanted flexibility.
Although it might be a previous-user's modification, the rear power shaft could be driven not only in the usual way, from the screwcutting change wheels, but also by a flat-belt pulley from a take-off on the countershaft..