this is the best match I could find in 1851
Amroth Castle back, Amroth, Pembs HO107/2475 folio 348 pg 9
Martha Wilkins mar 31 mason's wife husband absent b. Pembs, Lampeter
Eliza dau 13 b. Carms, Kiffig
Martha dau 7 b. Mon, Rumney
Henry son 3 b. Rumney
Richard son 7 months b. Pembs, Amroth
then 1871 was a help, if you allow for an odd dropped aitch
3 Helen St, Roath RG10/5367 folio 15 pg 12
Richard Wilkins head mar 53 mason b. Carms, Carmarthen
Martha wife 53 b. Carmarthen
James 16 b. Swansea
Martha Ann Eath niece 6 b. Penarth
(suspect niece is used here to signify female relation of a younger generation, and would now be termed grand daughter)
1861 Rolls 3, St Andrews, Glam RG9/4041 folio 51 pg 1
Richard Wilkins head mar 41 stone mason b. Carms, Laugharne
Martha wife 38 b. Laugharne
Henry son 12 stonemason b. Bedwellty
Richard son 10 general servant b. Amroth
James son 6 b. St Mary
1841 Small Houses, Uchlawrcoed, Bedwellty, Mon HO107/750/17 folio 50 pg 27
Richard Wilkins 25 mason
Martha 25
Elizabeth 3
Griffith 46 mason
William 20
Griffith & William not born in county, the other 3 born in county.
They're not very consistent in ages or places of birth.
Extracted baptism IGI batch C080991 for Crunwear, Pembs for Eliza 20/12/1838 dau of Richard & Martha.
Same batch has a baptism earlier that year for another Eliza daughter of Griffith & Elizabeth.
Eliza's marriage cert would confirm father's name & occupation.
Possible marriage for Richard?
Richard Wilkins dec qtr 1837 Narberth vol 26 pg 803 with Martha Meyler on the same page
and birth reg for Eliza
Eliza Wilkins dec qtr 1838 Narberth vol 26 pg 549