A well known firm of wood-machinery makers, Cooksley were founded in 1896 and based in Kingston-upon-Thames and by 1961 had 150 workers making a wide variety of professional woodworking equipment. Part of their range was a small woodworking lathe that appears to have been built in two versions:  one was identical in design and configuration the Harrison "Jubilee" (and, judging by the screwed-on cast-aluminium Cooksley badge was simply that lathe re-branded) while the other was very, oddly, very similar in general construction but with a number of notable differences.
Both now very rare, they were heavily built from fabricated steel plate on an underdrive plinth with the drive motor mounted on a vertically-adjustable plate. A large capacity bowl-turning attachment appears to have been a standard fitting.
If any reader has a Cooksley wood lathe, the writer would be very interested to hear from you.