Great job, Marp, I really do appreciate your thoroughness and perseverance! OK, I'm thinking aloud, please bear with me. This Thomas Cham of North Wingfield died two years before the marriage of Dorothy Cham and Thomas Fouke of Codnor in the Church of St. Lawrence at Heanor. Was Dorothy his daughter, and was THAT the reason that Thomas Fouke of Codnor moved to North Wingfield after his marriage to her, since they are listed as being of Holmgate, North Wingfield, just like their son Thomas, on his marriage record in 1654 (by the way, Matthew Hopkinson is listed as the first witness at that wedding). So Thomas (c1624-1714) could have been named after his father AND his mother's father, two for one! Is Hathersage too far away for the Thomas Cham living in 1661 to be her brother? I guess he would be pretty old by then, if she had one, maybe a nephew or younger cousin is possible.
I should have printed this, but didn't, years ago I was reading an online history of the Church of St. Lawrence in Heanor, and they had a list of the churchwardens. For 1613 they had "Thomas Fowke" as a substitute churchwarden, representing Codnor and Loscoe. Hope this works for you, as a start, and Thank You so much!