David Brown's: The Story of a Family Business 1860-1960 was written by Desmond Donnelly and published in 1960.
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Under the terms of the Copyright, Designs and Patents Act 1988, the copyright of literary, dramatic, musical or artistic works in the United Kingdom expires at the end of the period of 70 years from the end of the calendar year in which the author dies.
The author, Desmond Donnelly, died in 1974 and copyright on his works will expire at the end of 2044.
However, in this particular instance, it would appear that Donnelly transferred the copyright of the work to David Brown Ltd. and therefore the copyright will like expire at the end of 2030 (being 70 years from the year of publication).