Girl Guide reply #12. Arthur looks right for the 1911 marriage (reply #10) and father of Alfred, Edith. Lilian and Ralph, baptised at St. Silas.
However, I think he's a red herring. It was me who cast the net with those other Wright-Smith children born in Ardwick.
Is this baptism of Agnes Wright? April 1911 St. Thomas, Ardwick, parents William & Caroline, address Gilmour Street, father's occupation carter. From Family Search. Date transcribed as 29th April; I read it as 26th.
It seems there may have been 2 Wright men with Smith wives in Ardwick at the same time, one in St. Thomas parish and the other in St. Silas.