Arthur Barksdale Kinsolving was the son of Ovid Americus Kinsolving (1822-1894) and Lucy Lee Rogers Kinsolving (1833-1862). He he graduated from the Episcopal school in Alexandria, Virginia. Attended the University of Virginia in 1882-83. Then graduated in 1886 from the Theological Seminary of Virginia. Received a D.D. at Washington and Lee University in 1906. His first position was that of assistant rector in Warsaw, Virginia. From 1888-1906 he served at Christ Church in Brooklyn, then going to St. James in Baltimore where he served from 1906 until 1942. He wrote a number of books, some about the history of the Baltimore Church. As a number of his relatives were also ministers he wrote a book about his family.
He married Sally Archer Bruce (born 1876) on 5 February 1896 in Richmond, Virginia. They had 6 children: Mary Bruce Kinsolving James (1896-1947); Arthur Lee Kinsolving (1899-1977); Anne Seddon Kinsolving Brown (1906-1985); Herbert Leigh Kinsolving (1907-1997); Sally Kinsolving Gundersheimer (1912-1981); Lucinda Lee Kinsolving Leigh (1916-2009).