Can you clarify exactly what his second name is please? You have given three second names, these being Harry, Harold and Henry.
PARSONAGE, WILLIAM HAROLD WOOMANS
GRO Reference: 1920 D Quarter in BROMSGROVE Volume 06C Page 350
PARSONAGE, WILLIAM HENRY PHILLIPS
GRO Reference: 1920 S Quarter in DUDLEY Volume 06B Page 1912
As you have mentioned Dudley as his birthplace I assume that it is Henry?