Not quite sure what you meant by "second from the ends of the lens
post 1 picture 2, turn the barrel 90° so the lens ends are facing the camera (2 pictures) and rotate picture 1 180° (1 picture).
Check all threaded sections for damage or burs. Measure the threads, different thread pitch suggest there was a mount ring in the camera that the sections attached to.
Lens diagrams associated with this lens.
From the Vade Mecum: TTH must have supplied a very large number of f4.5 triplet type lenses on cameras by Thornton-Pickard (such
as the f4.5/5.75in seen at No58,685 and 82,39x, the latter on a Victory reflex for 6x9cm), and Houghton-
Butcher etc. and it is common to find these as f4.5 lenses marked with these makers names as well as TTH
such as a "7in f4.5 TTH/T-P Cooke No148,89x", "5in f4.5 Cooke Apem No91,53x", Cooke Luxor f4.5, "Cooke-
Butcher 5in f6.8 No 88,41x"- a slower lens in a shutter. Normally these were Press and Reflex camera lenses,
and will not be listed as extensively as they tend merely to reflect the camera makers buying the normal TTH
product.