Barnfather of Cumberland Merseyside Leeds

I am trying to trace the BARNFATHER side f our family tree. My great-grandmother, was Jessie Wright, ( nee BARNFATHER), from Chapel Allerton. She married Joseph Wright in Leeds, and then moved to Wallasey, Merseyside. The area was part of Cheshire at the time. Do you have any connections to either BARNFATHER or WRIGHT from these areas?