Kellogg was born on April 7, 1860 in Battle Creek, Michigan. He was married to Ella Osborn Davis from 1880 until her death in 1912. They had five children. Then he was married to Carrie Staines from 1918 until her death in 1948. Kellogg died on October 6, 1951 in Battle Creek, Michigan from heart failure, aged 91.