Thanks for your comments Howard.
You will see from the above that I manged to get into the traverse gearbox after some faffing about.
As I removed the cover one of the brass slippers had fallen off the end of the selector; whether this was the root of the problem I cannot yet tell, but all the gears seem to mesh correctly and they ttravel along their shafts freely.
As has been found by others there was a thick film of grit-in-suspension at the bottom of the box. I have cleaned that away, applying a mix of 68 grade oil in xylene with vigorous brushing to remove the sticky and solid deposits. The cover has been left open overnight to allow any solvent to evaporate.( The evaporation rate of xylene ,mixed isomers, is only a little slower than ethanol (Hofman 1932), but its solvent power for mineral oils is particularly good.)
Thank you for your contribution.
Jerry