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There is something off with this portrait and Wiki's entry. On the National Portrait Gallery the description is Little is known about Lady Scudamore, but this portrait appears to have been commissioned to commemorate the marriage of her son, John, later Viscount Scudamore, to Elizabeth Porter of Dauntsey, Wiltshire. The date of the wedding is inscribed in the top right corner. According to George Edward Cockayne Complete Baronies, Anne Mary Throckmorton and Sir James (died 1619) were the parents of the first Viscount Scudamore. You can also take a look at Crofts Peerage which goes along with Cockayne; Crofts Peerage. Crofts Peerage states that the 1st Viscount's parents are Sir James Scudamore, of Holme Lacy, co. Hereford (by his wife Mary Baskerville, widow of Sir Thomas Baskerville and only dau. by his second wife of Sir Thomas Throckmorton, of Coss Court, Tortworth, co. Gloucester), son and heir ap. of Sir John Scudamore, of Holme Lacy, co. Hereford, Gentleman Usher to Queen Elizabeth I.
I would also like to note that in the section for Personal Life, the sources used have NOTHING to do with his wives. His wives are not mentioned on page 34 [reference #8]. Ambition and failure in Stuart England. The author simply refers to Mary, widow of Thomas Baskerville who had an infant son named Hannibal; this is on page 29! There is also no mention of a turbulent marriage which ended in separation in 1604 on page 34. The portrait is thus Mary Throckmorton.