Thanks RJ! From what I gather, Burke's Peerage had Elizabeth's 1st husband (Wingfield) dying in 1431 and Elizabeth marrying Hardwick in c1432. However, Wingfield left a will dated 1452/3, which named his wife, Elizabeth. That will was proved Nov 1454. So, unless Elizabeth married and had a child when she was in her mid-50's, the Hardwick marriage probably didn't happen. I'm comfortable leaving the Hardwicks detached from Elizabeth's profile (there is a detailed research note on the possible 2nd marriage).
Also, the Visitation has William Hardwick marrying ____, daughter of ___ Goushill of Barleburgh, Derby. Elizabeth's father, Robert, appears to be from Nottinghamshire.