I Am Searching for a John Dempsey Supposedely the Father of Frank Hen

I am searching for a John Dempsey, supposedely the father of Frank Henry Dempsey-1883-4-Frank was born in Arkansas, and lived in Hempstead county Ark, married Mary Fincher, Also had Nevada county Arkansas conncetions.
Frank was married twice, first to Mary Hornaday, this union had one child- Lily -
Frank was the father of, Pauline, Daisy Arlene, Mattie and Alton T. Dempsey. He had one daughter, Lilly, by his first wife, Mary Hornaday. They resided in Hope, Arkansas at one time. Any information on this family will be greatly appreciated, Is John Dempsey, indeed the father of Frank Henry ????
Thanks..
J.Dempsey Foster