Hi there.
My grandfather was Andrew Stevenson, William's son.
William's father was James Stevenson, a ploughman, and his mother was Jane nee NcNaught (from Williams marriage cert to Jane Coltart in 1886. Both parents seem to be alive at the time of this wedding.
His birth is recorded OPR Births 870/0020 0059 Kirkbean in 1848.
William Gibson lawful of James
Stevenson and Jean McNight
Tallawhairn. Born 21st Baptised 28th June by Rev T Graham
Tallawhain is, I think, actually Tallowquhairn (OS grid ref. NX 992 584)
I believe that he had the nickname of "Red Rob" because of the colour of his hair and I think he died ~1925.
I don't have any other information available yet. But here's a photo of him with his wife Jane and my grandfather Andrew, probably taken in the early 1900's