She did not go to Virginia, did not marry Dr. Richard Wells, and did not have 11 children with him. She went to France with the rest of her family, and from there to Rome, and did not return to England until well after the Restoration.
From the House of Commons Journal, Volume 2 - 08 April 1642 http://www.british-history.ac.uk/report.aspx?compid=14#sec-a15
White's Pass.
Ordered, That Rich. White, of Hutton in the County of Essex, with the Lady Catherine his Wife, and George, Jerome, Charles, Elizabeth, Catherine, and *Francis [sic!] White*, their Children, shall be licensed by this House to be transported into France, together with Three Men Servants, and Three Maid Servants (whose Names are also particularly to be inserted in the Warrant) and to transport their Trunks of Apparel, and other necessary Provisions: And the Searchers are required to take care that no prohibited Commodities be exported by them.
From France the family continued on to Rome, where Lady Catherine died, on or about October 31, 1645 (according to her epitaph, see above - it also gives her age as 38 and states that she left eight children).
Note: *This* Frances White can hardly have been born before 1630 - Sir Richard married Lady Catherine, as his second wife, circa 1625 and George was probably their first child (born 1628). Since two other daughters are named in the pass before her, she may have been considerably younger.
