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William Henry Booth of Manchester.
Presumably the W. H. Booth who contributed articles to journals including the American magazine 'Machinery', from which:-
Born in Rochdale. Higher education at Owen's College (Manchester Victoria University). Trained at John Petrie and Co. Worked in Britain, Australia and New Zealand. Professionally involved in combustion engineering. Address in 1907: 25 Queen's Gate, Westminster. 
1883 Writes from Manchester
1884 Writes from Lonsdale, Flixton, Manchester and signs as Late P.W.D. New South Wales
1886 Writes from Manchester
1889 Writes from 4 Fenchurch Avenue, E.C.
1891 Writes from the National Liberal Club
1898 Writes from 19 Chatsworth Road, West Norwood
1903 Writes from Queen Anne's Gate, S.W.
1919 Writes from Slough