I have been in search of my ancestor, Alex Pullum married to Cynthia Ball. While doing some research, I ran across a Henry Pullum in the 1920 McCreary County, Kentucky census. It shows Henry Pullum b.abt. 1901 wife Bonnie b. abt. 1900 and a child Mildred M. born about 1918.
Don't know if that is any help or not. I thought maybe this Henry may be a son to my Ancestor Alex Pullum. They lived just about next door to each other and the ages would fit. But I am unsure. Do you have any clues or think this may be your Henry? Let me know.