Adrian – looking at the pictures in your link it says Reg'd Trademark cast above and below the name LINISHER. Using Linisher as a trademark in a search at the Intellectual Property Office comes up with 4 references. 3 of them are for Turner Machine Tools Limited, 63-68 Princip Street, Birmingham, 4, United Kingdom and are dated 1st Oct 1913, 30th April 1929 and the third which includes the word "OSCIMATIC" is dated 23rd May 1968.
One other reference comes up but the word changes to "Finisher", that is owned by Gühring KG, Herderstr. 50-54, Albstadt, 72458, Germany and is dated 11th March 2020 so very unlikely to be anything to do with your machine part.
Personally I'd look to see what I could find out about Turner Machine Tools. The status of all the Turner references is "dead" so I guess the company no longer exists although the IPO representative name is given as Barker Brettell LLP, 100 Hagley Road, Edgbaston, Birmingham, B16 8QQ, United Kingdom, who might have some information about the company as a last resort
Hope that's of some help.
Edited By Keith Long on 16/12/2020 15:42:08