Hi,
I think her father's name is Edron, both christenings are extracted records on the IGI,
Edron BRADLEY
Christening: 25 JAN 1788 Shipston-On-Stour, Worcester
Father: Daniel BRADLEY
Mother: Betty
OR
Edson BRADLEY
Christening: About 18 JUL 1788 Shipston-On-Stour, Worcester
Father: Edson BRADLEY
Mother: Elizabeth
Edron BRADLY
Spouse: Lucy BRADLY
Marriage: 24 MAY 1824 Shipston-On-Stour, Worcester
Eleanor BRADLEY
Age: 26
Father's Name: Edron BRADLEY
Spouse: James ANDERSON
Age: 28
Father's Name: Nelson ANDERSON
Marriage : 12 Oct 1865, Edge Hill, Lancashire
Looking at the 1871 & 1881 census for Eleanor ANDERSON it looks like she named her eldest son after her father,
Birth
Edron ANDERSON Sep Q 1866 West Derby 8b 512
Regards
Daisy