If you go to the actual census record, you'll see that Lula M is the wife of Alfred! And Robert G is the grandson of William & Elizabeth. Addie is William's mother.
Elmer P is a widower, as is Thomas.
William was 18 & Elizabeth 14 when they married. All of their children were born in KY, so they were in KY by 1904.
See the digitized census pages on Ancestry.com
eve