This is her writeup from A Who's Who of Tudor Women: "JANE CARLISLE (d.1575)
Jane Carlisle or Carlyle was an Englishwoman from Carlisle who inherited property in that city. She had a sister, Elizabeth (c. 1510-c.1564), who is sometimes said to have been the daughter of William Carlisle, 2nd Lord Carlisle of Torthorald, Dumfrieshire, but Lord Carlisle was a Scot and neither Jane nor Elizabeth are listed among his children in the usual sources, so I don’t believe this is accurate. Whatever her parentage, Jane became the mistress of Sir John Lowther (c.1488-1553) during his tenure as constable of Carlisle Castle in the 1540s. She had two daughters by Lowther, Mabel and Jane. In his will Lowther named his mistress as one of his executors and as residuary legatee. In March 1564/5, Jane traveled to Scotland to attend the wedding of her nephew, John Sempill or Semple (Elizabeth’s son by Robert, 3rd lord Sempill, legitimized after their 1546 marriage), to Mary Livingston, Queen Mary’s lady in waiting. The queen called John Sempill 'the Englishman' because he had been born in the south to an English mother. It may be at this time that Jane received the gift of a chain worth £60, possibly from Mary Queen of Scots herself. It is unclear exactly when Jane became the third wife of Sir Thomas Dacre (d. July 17, 1565), illegitimate son of Thomas, 2nd baron Dacre, but they appear to have had a happy marriage. After his death, however, Jane was involved in a bitter lawsuit with one of Dacre’s sons by an earlier marriage. Biography: Oxford DNB entry in 'Dacre family' as 'Jane Dacre [née Carlisle].' Portrait: c. 1545, previously misidentified as Lady Jane Grey." The portrait mentioned is a version of this one.
From lisby1's photostream on flickr; image enlarged and lightness added by gogm.