Hi Jane
I think Florence May was the daughter of Edward Waller born 1850 and Margaret Reed known as Mary. They lived in Aldgate at the turn of the century. If You have a look at the Trove website you are likely to find their wedding notice in the paper.
Mary and Edward were my great grandparents - my father also had Edward Waller as his name. I am trying to find the line from before 1820.
cheers
Claire