My great grandfather, James Williams was born in Tremain, Cardiganshire in 1868. I have found him on all the census records and his parents seem to be David Williams (1839, St Mary Cardigan) and Eleanor (1840). Is researching David Williams in Cardiganshire just a lost cause? Any tips please? Thank you
This is them in 1871
Name:   David Williams
Age:   32
Estimated Birth Year:   abt 1839
Relation:   Head
Spouse's Name:   Eleanor Williams
Gender:   Male
Where born:   St Mary, Cardiganshire, Wales
Civil Parish:   Tremain
County/Island:   Cardiganshire
Country:   Wales
Registration district:   Cardigan
Sub-registration district:   Llandygwydd
ED, institution, or vessel:   4
Household schedule number:   24
Piece:   5542
Folio:   76
Page Number:   5
Household Members:   
Name   Age
David Williams   32
Eleanor Williams   31
John Williams   10
David Williams   9
Benjamin Williams   5
James Williams   2