Had just spotted that death entry for Florence myself and assumed she hadn`t married William H L Adams. It`s a mystery as to his whereabouts a his brothers kept in touch until their deaths. I don`t remember them talking about him though I do have a vague recollection that he was in the forces in WW2
The marriage certificate should answer some of the questions, his initials are correct on the index and the one I found in Bournemouth area in 1939 had the correct birth date. If he died in WW2 he should show on the CWGC web site.