On the 1850 census, Arthur's middle name is listed as Decalb. According to records from his grandson Harry, his middle name was Dorcas.

From History of Bartholomew County Indiana - 1888, pg 291:

Hon. Arthur D. Galbraith, of Haw Creek Township, was born in that township, October 31, 1841, and was the son of Aeneas S. and Catharine (Winn) Galbraith, the former of whom was born in east Tennessee, of Irish descent, and the latter was born in Virginia, of English descent. He was reared on the old Galbraith homestead, where he was born, and at the age of twenty-two he adopted the vocation of farmer for himself, He was married January 16, 1864, to Sarah E. Henry. She was born near Crawfordsville, this State, and was the daughter of Joseph Henry. They began their married life on a farm in Haw Creek Township, in which they have ever since resided.

They have made but one move. That was in 1878, when they moved to their present farm. The whole attention of Mr. Galbraith was given to farming until 1886, since which time he has been in the grain business, but he still resides on the farm, and also attends to its management. He is the father of eight children: Oscar B., Tighlman, Charles, Byhonas, Walter, Harrold, Docia, and a son that died in infancy, unnamed. In politics, Mr. Galbraith is a Democrat. He was elected to the State Legislature in 1878, in which body he represented Bartholomew and Brown counties one term.

Obituary contributed by Denby Brown
Hope Newspaper: Friday, January 17, 1930

Arthur Galbraith son of Aeneas Sharp and Catherine Wyan Galbraith died Sunday at 10:00 AM at his residence on West Jackson Street, Hope , age 89. He was a member of the Hartsville U. B. Church and a Representative in the State Legislature 1879. He was a pioneer resident of the township but spent 3 years in Indianapolis with his son Walter Galbraith and family. He was the last of 15 children. His wife Ellen Henry Galbraith, died 2 years ago. His niece Mrs. Mary Boyd lived with him until her death 5 years ago. Surviving are 5 sons, Oscar B. Galbraith of Clifty Township, Tighlman of east Rugby, Charles B. Galbraith of Waverly, Walter Galbraith of Indianapolis, Harold Galbraith of near Burney; 15 Grandchildren and several Great Grandchildren. Funeral service was Tuesday at the Hope Baptist Church, Rev. Alfanso Burnes conducting. Pallbearers and out of towners at the funeral were named.