Lister family Maryport Cumberland

I,m trying to trace my Lister ancestors from Maryport beyond 1800. I have William Lister married in 1800 at Dearham parish church to Elizabeth Brough.They had several children all christened at the same church, including my ancestor Elizabeth Rebecca.(B.1804) Elizabeth married John Donaghy(B 1806 Workington)They married in Liverpool 1833. I have been able to search the records for Dearham parish church but there are no other Listers recorded before 1800 so it maybe they were from either another part of Cumberland or from another county.
Any information anyone has would be much appreciated.