I had a look for Rhys and Reece but couldn't see any likely candidates.
What was JH's dad's occupation in 1901? The OP says they were farmers for years - did they live on a farm or were they itenerant farm labourers?
We have Neath (don't know exactly where Bryncoch is, it's not listed as a separate district within Neath, was it just the house/farm name?); Llansamlet and Llangyfelach in Swansea; possibly Llanelli (see above) - just wondered if the family moved about S Wales according to the farming seasons.