In the 1916 Rebellion Handbook, there are 3 officers from the South Staffordshire Regiment in the list of wounded officers. No officers from the South Staffordshire Regiment are listed as killed.
Captain PS Bayliss appears to be Percival Samuel Bayliss (1881 - 1955).
His medal index card shows he finally entered France on the 27th April 1917, a year after the Easter Rising.
Commissioned as a 2nd Lieutenant in the 6th Battalion South Staffordshire Regiment in September 1914 :
London Gazette September 1914
Promoted to Captain in June 1917
London Gazette June 1917
Military Mission secondment in October 1918
London Gazette October 1918
Resigns his commission in January 1921
London Gazette January 1921
His cricket career entry suggests he later went to the USA as part of the British Military Mission and that he was a director of the firm Bayliss, Jones and Bayliss.
The company Bayliss, Jones and Bayliss appear to have recruited a Home Guard platoon during WW2.