Yes, a great find, wilcoxon.
So now we know when John William died.
So if Margaret was illegitimate, then maybe the John Smith burial at Philips Park in 1872 is the right one. I would have thought that Mary would be buried there as well, probably in a common grave?
Speaking of Broughton!
Playing around with a godparent search again (despite myself!)
What is this all about?

From Lancs OPC
Baptism at Bradford St Brigid, 7 Nov 1880
Joanna Burns, filia Jacobi Burns & Mariae (formerly Smith)
Born 24 Oct 1880
Abode 56 Gibbons Street
Godparents Arthur McCandrew?, Margareta Welsh
Notes: Ipsa matrimonium contraxit die 3 mensis Maii anno 1919 cum Leonardo Broughton in hac Ecclesia Stae Brigidae apud Bradford. Praesentibus testibus Jacobo Burns et Helenae Broughton. J. C. Holland