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I live close to Bristol, and my Naish ancestors came from this area and there are several places with the word Naish in them, for instance Naish's Cross,Naish's Street, Naish Road, Naish Hill, Naish Lane & Naish House, but I think these were named after the family, rather than the family being named after them. I was always told the ash tree theory. Also this is the only part of the world where people pronounce the name correctly, with the silent i, without being told, which is another indication that the name originates in this area,