According to Douglas Richardson,
Plantagenet Ancestry, 2nd ed. (2011), vol. 2, pp. 209–13, "Bess of Hardwick" was descended from Edward I, as briefly summarized below.
EDWARD I m. (1st) Eleanor of Castile.
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Princess Elizabeth m. Humphrey, 4th Earl of Hereford [a descendant of Geoffrey Plantagenet, Count of Anjou].
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Lady Eleanor de Bohun m. James, 1st Earl of Ormonde.
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Lady Pernel (or Petronella) Butler m. Gilbert, 3rd Lord Talbot.
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Richard, 4th Lord Talbot, m. (Hon.) Ankaret le Strange [a descendant of King John].
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(Hon.) Mary Talbot m. Sir Thomas Greene, of Green's Norton, co. Northampton.
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Sir Thomas Greene, of Green's Norton, co. Northampton, m. Marine Bellers.
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Anne Greene m. Sir Thomas Pinchbeck, of Pinchbeck, co. Lincoln.
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Elizabeth Pinchbeck m. John Hardwick(e), gent., of Hardwick, Ault Hucknall, co. Derby.
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John Hardwick, of Hardwick, Ault Hucknall, co. Derby, m. Elizabeth Leeke.
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Bess of Hardwick.