If you send for Martha's marriage certificate, it will give you the names of both fathers, plus their occupations and whether or not they are still alive at the time of this marriage. From there it should be possible to search censuses and get some way further back. There is a Martha J Clarke on the 1851 census, born Toxteth but unless you know her father's name, you can't be absolutely certain that it is the right one for you.
The marriage ref is:
Sep 1853, Salford, 8d/1
Jen