A possibility of his marriage in England .....
England & Wales, Marriage Index, 1916-2005
When he was killed in action he was the husband of Dorothy Clara ? of Sydenham (England) - this might be there marriage.
From his WWII info - Extra Information: Son of Albert E. Bromley and of Eva Bromley (nee Clifford); husband of Dorothy Clara Bromley, of Sydenham.
Name: Douglas C Bromley Spouse Surname: Prior Date of Registration: Apr-May-Jun 1942 Registration district: Lewisham Inferred County: Kent Volume Number: 1d Page Number: 1990
Name: Dorothy C Prior Spouse Surname: Bromley Date of Registration: Apr-May-Jun 1942 Registration district: Lewisham Inferred County: Kent Volume Number: 1d Page Number: 1990