The family is here in the 1871 census:
Household Role Gender Age Birthplace
Thomas Thomas Head M 63 Mydrim, Carmarthenshire
Rachel Thomas Wife F 58 Penboyr, Carmarthenshire
Anne Davis Daughter F 26 Mydrim, Carmarthenshire
Esther Thomas Daughter F 20 Mydrim, Carmarthenshire
Edward Davies Grandson M 4 Mydrim, Carmarthenshire
Thomas Davies Grandson M 2 Mydrim, Carmarthenshire
Mary Davies Granddaughter F 1 Glamorganshire
"England and Wales Census, 1871", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:V553-MBT : accessed 23 May 2016), Anne Davis in entry for Thomas Thomas, 1871
Ironically the father isn't present but is described as a gardener.
Here's Anne's birth/christening record too.
"Wales Births and Baptisms, 1541-1907," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:X1YP-F5L : accessed 23 May 2016), Anne Thomas, 12 May 1843; citing , reference ; FHL microfilm 105,217
She was actually born in 1843 although that means the age of 26 in the 1871 census should actually be 27. (This sort of error is very common)