Dear Greg ~
My research indicates that Katherine Harington, daughter and co-heiress of Sir James Harington, of Brixworth, Northamptonshire, Westleigh (in Leigh), Lancashire, etc., married (1st) William Mirfield/Myrfeld (born c. 1486-1520) and (2nd) Thomas Burgh (or Brugh), Knt. (died by 1537).
See Yorkshire Notes & Queries 1 (1888): 105–120 (re. Mirfield fam.), which is available at the following weblink:
https://books.google.com/books?id=8PQvAAAAMAAJ&pg=RA3-PA115
Also see the following Chancery Proceedings available at the online Discovery catalogue:
C 1/421/4; C 1/421/7; C 1/467/55; C 1/467/56; C 1/498/47 (available at
http://discovery.nationalarchives.gov.uk).
Benolte, Vis. of Lancashire 1533 2 (Chetham Soc. 110) (1882): 190 includes the following editorial note:
“Adam Hulton was eldest son of Roger Hulton of the Park, who had married Katherine, one of the daughters and coheirs of Sir James Harington. She was his widow in 16 Henry VII. (1500), as appears by an indenture quoted by Mr. Hulton. This alliance has been overlooked by the Editor in previous notices of the heiresses of Sir James Harington and of his wife Isabella - Katherine being, at the time of her mother’s death, named in her will as one of her heirs, and wife of William Mirfyld.” END OF QUOTE.
There is a discussion of the daughters of Sir James Harington, including Katherine, published in Benolte, Vis. of Lancashire 1533 1 (Chetham Soc. 98) (1876): xii–xv. This material may be viewed at the following weblink:
https://books.google.com/books?id=SwEVAAAAQAAJ&pg=PR12
The editor identifies of only one husband for Katherine Harington, namely William Mirfyld, whereas the evidence I have cited above proves had two husbands. No mention is made of a marriage to Roger Hulton.
It seems that a certain Katherine Harington did marry a Roger Hulton. See, for example, St. George Vis. of London 1633–5 1 (H.S.P. 15) (1880): 400 (Hulton ped.) which reads as following:
"Roger Hulton of the Parke = Katherin da. of Sir James Harington Kt."
However, I doubt that she was the same person as the Katherine Harington who married William Mirfield and Sir Thomas Burgh. I say that because Roger Hulton's wife, Katherine, is known to have been a widow with at least four children in 1500 [see Benolte, Vis. of Lancashire 1533 2 (Chetham Soc. 110) (1882): 189–190], whereas the other Katherine Harington's first husband, William Mirfield, was born about 1486 (aged 22 in 1508). Without doing more research, my guess is that there is a generation difference between the two Katherine Harington's.
Lastly, I might mention that Benolte, Vis. of Lancashire 1533 1 (Chetham Soc. 98) (1876): xii–xv states that Katherine Harington's sister, Margaret Harington, married (1st) Christopher Hulton and (2nd) Thomas Pilkington. Benolte, Vis. of Lancashire 1533 2 (Chetham Soc. 110) (1882): 189–190 specifically quotes a record dated 1517 which mentions "the last wyll of Margett Pylkenton sumtyme 1ife of Cristoffe Hulton of ffarnworthe." The latter source pg. 190 adds that "it seems clear"that "there were two Margaret Haringtons, in different generations, each married to a Pilkington."
But Benolte, Vis. of Lancashire 1533 1 (Chetham Soc. 98) (1876): xiii-xiv appears to dispute that there were two Harington-Pilkington marriages, saying that "Margaret wife of Sir Thomas Pilkington was therefore Aunt to Margaret who married Christopher Hulton."
Best always, Douglas Richardson, Salt Lake City, Utah