Dear StDavids,
Your great great grandfather John Davies of Blaenresgair, Llansawel born 23rd Oct 1834 was baptised on 7th November 1834 at Llansawel. Parents showing as John & Mary Davies.
NOTE: The 1841 Census has a lot less information than other Censuses and also ages of people living in the house/farm over the age of 15 were rounded down, for example: if the person was 44 they would be put down to 40 or if they were 47 they were shown as 45).
From the information on 1851 & 61 Censuses - John (was born around1807) & Mary Davies (born around 1806) and lived at Blaenresgair (various spellings):
The 1841 Blaenyresker, and 1851 & 61 Blaenyresgair, John and Mary had the following children and the date of births are estimated from the Censuses:
David b. 1832; John b. 1834; Mary b. 1837; Jane b. 1839; Elizabeth b. 1842; James b. 1845;
Margaret b. 1848; and Daniel b. 1852.
The 1841 Census shows "Y" this means born in parish; and the 1851 & 61 Censuses show parents and children being born in Llansawel. John (b. 1807) is a farmer in 1841 & 51; and a farmer of 70 acres in 1861; and by 1871 was a farmer of 76 acres.
Also by the 1871 Mary had sadly died and John had remarried to an Anne. The spelling of the farm was put down as Blaenyreskair.
Mary Davies of Blaenyresger was buried at Llansawel on 26 July, 1864 Aged 57
I could only find 3 baptisms for the 3 eldest children (John as above 1st paragraph);
David baptised on 30th Oct 1832 and a Mary Baptised on 20 March 1837 at Llansawel.
Parents shown as John & Mary Davies, Blaenyresger. John shown as farmer.
I hope this is of a little help,
Kind regards, Alltcafan