let me work through to see if this helps
marriage 16 Aug 1842 in Llanegwad parish church for
Thomas Anthony, full age, farmer's servant, Tycoch, father Evan, labourer and
Margaret Ambrose, full age, seamstress, Pantyblodau, father David, carpenter
baptism 31 jan 1848 in Llanegwad for Elizabeth daughter of Thomas, labourer, & Margaret Anthony of Tirberllan
1851 census Tyrberllan HO107/2471 folio 177 pg 4
Thomas Anthony head mar 31 labourer
Margaret wife 31
Anne dau 8
Eliza dau 3
David son 2 monthall born Llanegwad
1861 census New House RG9/4129 folio 86 pg 5
Thomas Anthony head mar 41
Margaret wife 39
Liza dau 11
John son 7
David son 5
Jane dau 12 months
all born Llanegwad. The David from the 1851 census was buried 1 Nov 1854 aged 4
1871 Tynewyd RG10/5485 folio 53 pg 15 (this is New House, name a version of new House in Welsh)
Thomas Anthony head mar 50
Margaret wife 49 milliner
Isaac son 6
1881 Tynewyd RG11/5389 folio 97 pg 1
Thomas head mar 64 ag lab
Margaret wife 64 dressmaker b. Llanfynydd
Elizabeth dau 34 general servant
John son 27 tailor
Thomas Evans grandson 7
Ann Ambrose sister-in-law 66 hosier b. Llanfynydd
others born Llanegwad
Who is the Thomas Evans grandson? Is he not the Thomas baptised 18 Jan 1876 in Llanegwad, son of Elizabeth Anthony, Tynewydd, single woman? He's certainly not the son of sister Anne as she died in 1865, buried aged 22 30 March 1865.
birth reg Tom Anthony sept qtr 1874 Llandilofawr vol 11a pg 821 no maiden name given
1891 census Tynewydd RG1/4510 folio 82 pg 5
Elizabeth Anthony head unm 37 washing woman
Jacob son 9
1891 Thomas Anthony 17 is a farm servant at Glansannan, Llanfynydd RG12/4509 folio 23 pg 2
1901 Tom Anthony 26 coal worker above ground b. Llanegwad in Llandebie RG13/5108 folio 34 pg 9
1911 shows Elizabeth as widow but a little fib
https://www.familysearch.org/ark:/61903/1:1:X7N1-DH9There is another Elizabeth Anthony in Llanegwad, wife of John, but they do not have a son called Thomas. So the one in 1911 with son Thomas is your Elizabeth.