Sir. William Harper

I cannot find any accounts of Sir Harpur that say he had any children, and most say he had no children (like this https://www.bedfordschool.org.uk/sir-william-harpur/ ) so I'm dubious that this is the same William Harper.

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https://en.wikipedia.org/wiki/William_Harpur

Sir William Harpur (c. 1496 – 27 February 1574) was a merchant from Bedford who moved to London, amassed a large fortune, and became Lord Mayor of London. In 1566 he and his wife Dame Alice gave an endowment to support certain charities including education. The endowment became the Harpur Trust, which supports four independent schools in Bedford today.