Hi Betty, I am new at this research, but I have not found a George Barnett Conner, I have found a George Barton Conner, hope this helps, this is the info I have found on him.
My sources are Ancestry.com, the social security index and the federal census.
George Barton Conner: World War 1 Draft Registration Cards 1917-1918. residence: City of Altoona, County Blair, Pennsylvania. birth, 25 Feb. 1880
George Barton Conner: World War 11 Draft Registration Cards 1942. Birth date; 25 Feb. 1880 at time of registration he is 62. birth place, Bedford Pennsylvania. residence: Blair Pennsylvania. Person of contact; Mercy Conner.
U.S. social Security Death Index 1935-2014. George Conner SSI # 194-09-2278. last residence Altoona Blair Pennsylvania. born 25 Feb. 1880. died Nov.1966.
1930 U.S. Federal Census: George B. Conner b. 1880 age 50 Pennsylvania (brother in law).age at first marriage 30. Elijah B Barley b. 1866 Pennsylvania (head) age 64. Emma A Barley b. 1874 Pennsylvania age 56 (wife) Mercie R Conner b. 1889 Pennsylvania age 41 (sister in law, sister) Arville E Conner b. 1912 Pennsylvania age 18, Grace R Conner b. 1913 Pennsylvania age 17, C louise Conner b. 1923 Pennsylvania age 7, Roberta Conner b. 1926,1927 age 3 Pennsylvania
possible parents of George B. Conner : Lewis Conner 1843-1915, Chloe Shaw 1843-1919 source: Ancestry.com, public family trees.