This is her article from thepeerage, "Lady Anne Pope F, #341509, d. 13 July 1629
Lady Anne Pope died on 13 July 1629, unmarried.
She was the daughter of William Pope, 1st Earl of Downe and Anne Hopton.”
Upgrade image posted 4 December 2016 from Wikimedia; spots and flaws removed primarily from the background with Photoshop.
Lady Anne's coiffure is similar to that of Countess Francis Howard's in her 1615 portraits, here and here. Lady Anne wears a floating ruff and a partlet decorated with lace.
Keywords: 1615, Peake, Pope family, long straight coiffure, choker necklace, lace floating ruff, lace partlet, high neckline, bodice, U-neckline, lace bertha, draped necklace, long close sleeves, lace back-flared cuffs, bracelets