Possibly something you know already, but the image for William's marriage to Jane is on FindMyPast. Possibly on leave from the army, he was a private in Notts and Derby Regiment at Welbeck Camp. He gave his grandfather's name, Alfred, as that of his father.
Jane, age 26 of Cheshire Road (as in 1939), gave her father as John Williams and the witnesses were David Humphrey Williams and Florence Williams.
Three children registered to a Burbidge/Williams in Doncaster not long after the marriage but presumably a different family - Winifred 1920, Mildred 1923 and Thomas 1926. I think the two girls married in Don Valley District.
David