I have a 1929 catalogue of Lehmann Archer products. In the preface there is an account of how the British Association Committee, in about 1881, decided on a screw thread system better suited than Whitworth (below 1/4"
for instrument applications. This became our familiar BS system.
Mr Lehmann was approached by the Committee to produce the very first BA taps and dies in the range 0 – 16 BA. In order to do this Mr Lehmann had to "invent" machinery capable of generating the necessary, at that time, strange metric pitches.
The BA system came into general use in about 1887 after Her Majesty's Post Office Telegraph Department placed large orders for taps and screw plates.
So Jim you may have no fears about the ancestry of your Lehmann, Archer and Lane taps and dies.
By the way in 1929 a set of BA taps and dies 0 – 10 complete with tap wrench and dies stock contained in a wooden box coat 66 shillings = £3.30