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Susan - regrettably, Bert Highet's admirable book only covers the fortunes of Benbrook families in the United States, principally the descendants of Ezekiel Benbrook from about 1748, with some mention of the descendants of Stephen Benbrook, who emigrated there in the 1830s.
You may be interested to know that I have collected a substantial set of material on families with the Benbrook name, mostly here in England, but this does includes information kindly sent to me by Graham on New Zealand families (which includes you, incidentally!).
All NZ Benbrooks are descended from Reuben Benbrook, who emigrated there in the 1890s. Reuben was born in Rowington, in Warwickshire, and if you would like to know more about his ancestors, then please email me off-list.