As already mentioned, the family were in Old Cumnock for 1901. William Roberts' age looks to likely be more accurate than the previous transcript.
Likely death for him in Old Cumnock in 1904. Aged 44. Mother's maiden name not given. Could well not be showing on the actual register if not known by the informant. Has anyone had a look at this death to confirm the details and that it is the correct death for William?
We then have Jane's marriage to James Smith in 1908 in Catrine. Her father has now become a John Wylie, a hawker

and mother Jane Allan, both deceased.
Jane's death in 1923 continues with parents as John Wylie and Jane Allan. She is showing as Janet on her death entry.
Monica