Composited Visitations of Hampshire explicitly state that Frances, daughter of Sir Thomas White of Swanbourne, married Francis (not Thomas) Yate of Lyford in Berkshire.
Detail from Overview of Francis (the Recusant) Yate, Esq.. As well as Frances White, Francis Yate is recorded as having married Jane Tichborne of Tichborne (Hampshire). In fact, a brief look at the local parish register reveals that Frances was his first wife and died in the Summer of 1569.
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So who should this be, actually? Probably Elizabeth Fauconer of Hurstbourne Fauconer, Hampshire, first wife of Thomas Yate, married circa 1540, died circa 1562. http://berkshirehistory.com/articles/campion_lyford.html