Buying their marriage certificate will give you their father's names and occupations and this should enable you to take your search back another generation. Here is the GRO reference:
Name: William Campion
Spouse Surname: Lees Or Holden
Date of Registration: Oct-Nov-Dec 1915
Registration District:Burton upon Trent
Volume Number: 6b
Page Number:932
Martha is indexed as both Lees and Holden, so there is a good chance she had been married before or that she was for some other reason using a surname different from that she was born with. The certificate should clarify this.
Make sure you buy it direct from the GRO (
www.gro.gov.uk). Third party suppliers will charge considerably more than the statutory £9.25 fee and take considerably longer to supply it.