The Burch name is sometimes spelt Birch or Byrch. They lived in the Woodnesborough, Great Mongham, Tilmanstone, Ash and Sandwich areas of Kent in England, and the family can be traced back in that area to the mid-1500s.
I am indebted to Charles Burch of Sandwich for the enormous amount of information and help he has given me. Much of the information here is taken from his letters and the many documents in his collection.