I have a John Birch born 1809 Wrockwardine Wood died about 1881-1891.He was married to Maria Pearce and they had at least one child Sarah Ann Birchb.6/11/1855.Does this tie up with your tree.
Also I note you are in N.Z. do you have any connection to a Lawrence Birch and a Matilda Birch who went to N.Z.?