Hi Bill
I think you have the wrong William Booth, according to the official Salvation Army web site, the founder William Booth was born in Nottingham on 10 April 1829.
You don't say where William Booth born 1742 was born, but it appears that in the 1700's the Sally Army Booth family ancestors were from Belper Derbyshire.
You might be able to trace the family back there, and this link might be helpful:
http://www.belper-research.com/people/booth/booths.html
Hope this helps.
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