That definitely sounds like Alex Hay. He was associated with the Woburn Golf Club for many years during his time with the Beeb and he was a teacher in his own right too writing many instruction books like you said.
Didn't realise that he had borrowed a few things from TGM either.
Alex
Is it not taken from Ernies video??? Was it "How to build a swing" or something like that. I recall that Mr Hay was the narrator.(is that the name?)
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Golf is an impossible game with impossible tools - Winston Churchill