My Das's family are from Carlisle/Borders area and I recently found a Bewcastel line.
John Harrison b1781, Bewcastle (Married to Ann Dixon of Stanwix)
His parents were John Harriosn of Bewcastle b 1756 and his mother was Mary Davison of Bewcastle b1758.
Mary Davisons parents were George Davsion b1730 and Elizabeth Scott b1734, both of Bewcastle.
George Davison's father was another George Davison.
Elizabeths father was Thomas Scott.
John's parents were John Harrison of Bewcastle b1727 and his mum was Elizabeth Nixon of Bewcastle b1714
Elizabeth Nixons father was James Nixon of Bewcastle b1703
James Nixon's parents were Thomas Nixon and Elisabeth Routledge both of Bewcastle.
On another branch of my dad's family is Mary Turnbull of Bewcastle b1790. Parents were Robert Turnbull and Jane Forster.