I have been focused on this family for several clues that it is giving me because my dad (Charles Daley)and his mother (Emma Nagle Daley) never spoke much about William and Elizabeth and perhaps it was because they died in 1937. I was born in 1936 and don't recall ever asking about them. I have James Edward Daley's SS record and he names his parents as Elizabeth and William. Charles told me in his later years that James Edward had two sisters, Ella (she could be the E. in Mary)and Alma. Don't have any info on Flossie. I have never found any information in the census records execept what you have mentioned in you most recent post. My instincts tells me that this is the right family but I am puzzled about Flossie. Do you know if this was a nickname. I have a photo of the family, but my grandfather, James Edward has already moved to Oklahoma when it was taken. Grayville is also a good clue. I have many family members buried in Grayville. Will share the photo with you if you will send me your e-mail address. email@example.com
P.S. I asked my Dad if we were related to the Chicago Mayor Daley's and he replied "no". James Edward was his only son. And then he named Ella & Alma.