The only information I could find about her is from here, "BRIDGET HAWTREY (1588-1638) Bridget Hawtrey was the second daughter of William Hawtrey the younger of Chequers, Ellesborough, Buckinghamshire (d.1592) and Winifred Dormer (d.1614). She married Sir Henry Croke of Hampton Poyle, Oxfordshire (c.1587-January 1,1659) and was the mother of Robert (c.1609-February 8, 1680), Henry, Frances, and Winifred. She was buried at Ellesborough on July 5, 1638."
From bbc.co. This is the only version of this image I can find and it does not enlarge well.
Lady Croke's dress has four materials - under-skirt, over-skirt and bodice, sleeves, and shoulder pads - as well as a lace bertha, ruff, and cuffs. The dress is a slimmed down English farthingale.
Keywords: Gheeraerts - Marcus the Younger, Lady Croke, Brigette Hawtrey, Hawtrey family, Croke family, British, high straight coiffure, ribbon headdress, partlet, vee neckline, lace neckline ruff, bodice, scoop décolletage, lace bertha, epaulettes, long toght sleeves, back-flared lace cuffs, girdle, aglets, vee waistline, English farthingale, under-skirt, draped jeweled bodice ornament