The daughter of Rev. John Howse that you identify as "Jemimah," wife of Robert Linnell, is called:
"Penima" in Ernest Flagg's "Genealogical Notes on the Founding of New England" (Hartford, CT:Clearfield Co., Inc., 1926), p. 326 (in a list of children of Rev. John House and Alice, in which she is identified as wife of "Robert Lynnell of Scituate, Mass.").
"Peninah Howes" by John D. Austin in "Mayflower Families Through Five Generations, Vol. 6, 2d ed.:Stephen Hopkins (Plymouth, MA:General Society of Mayflower Descendants, 1995), p. 27 (she and Robert Linnell are identified as parents of Bethia, who married first Henry Atkins and second Stephen Hopkins (son of Giles, grandson of the Pilgrim Stephen Hopkins).
"Penninnah" in Charles Henry Pope's "Pioneers of Massachusetts," p. 287, where he mentions her petition as widow of Robert Linnell.
As to the mother of Peninah House or Howse or Howes, can you identify the source or evidence for her maiden name of Lloyd?