How do we know William's Bateman had a wife named "Frances" who d 1632? I don't see a wife listed in Anderson or Torrey.
How could William Bateman marry "Joan" in 1628 while he was still married to Frances? The source given on Joan's profile is inaccessible.
William Bateman baptised 20 May 1582 son of Thomas at Toppesfield, Essex - https://familysearch.org/ark:/61903/1:1:N51Y-2PG