Thanks for the further responses. Picking up some points.
It is a Powell and Lealand No. 3, their No. 1 was their flagship. Flipping the focus rack round for a different focus point has worked in the past for more modern designs. But this model has a different focus point on the rack for different mag objectives. Nowadays objectives are so-called parfocal, different mags have the same focus point.
The rack was likely handcut, although a prestigious maker they were a small company unlike the later Zeiss, Leitz, Watson bringing in factory standards.
The rack shown was the coarse focus acting on the rack on back of a triangular bar sliding in a close fitting aperture on the stand. The focus knobs axle was held in place by an opening in back. The coarse was not calibrated, the fine focus is missing on this stand but did have a crude calibration. It was vertical fine screw (a hole on top of horizontal tube support bar) acting on a lever raising the sliding collar the objective was screwed into.
The good depth of field image of the pinion and rack used an Olympus TG-5. The TG series have a built in Microscope (super macro) mode that takes five sequential focus stacks and combines in the camera. Also an option for 30 focus stacks for external combination to give an image. Popular with scuba divers as totally waterproof.
The website http://www.brassandglass.co.uk was given to me run by Penny Thoyts who has been very helpful for our home brew attempts. She specialises in old scope renovation with engineering rebuilds of all parts and did describe the pinion as a lantern. After careful studies she also has formulated varnishes that recreate the finish and colour of the time. This example has multiple issues, mechanical, cosmetic and optical but just doing bare minimum for basic working condition. Good examples in an outfit are well over £3k, but dealers at auction saw no profit for them so my brother and I acquired as hobbyists for a more modest three figure hammer price.
The rack notches are ca. 0.4 mm wide and thought a luthier saw which are in 0.3 and 0.4 mm widths may be useful in a jig to improve the rack. Sitting on such a substantial bar and with no experience of this type of soldering am wary of heating rack hot enough to replace as soldered and pinned.