Adrian was son of John Hegeman and Sarah Woolsey.
He married 1) Catherine Johnson about 1776 and had perhaps five children:
~ Catharine
~ Maria (Polly?)
~ Eva
~ Elida
~ Sarah
He married 2) Bathsheba Palmer 20 August 1788 and had 10 children:
~ Cornelius
~ Micah
~ Esther
~ Sarah
~ John
~ Peter
~ Sarah
~ Phoebe
~ Jane Ann
~ Bathsheba
--{by Maggie 2009}
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From History of South Dakota by Doane Robinson, Vol.II (1904), pp 1398-99;
courtesy of Heather (48030601) 11-24-23:
THE HEGEMAN FAMILY
The interesting pages of American history would not be complete if the biographer failed to mention John, Adrian and Peter Hegeman, the three brothers who in an early day came to Dutchess county, New York, from Holland, being direct lineal descendants from William, Prince of Orange. This notable and interesting family were of that staunch and hardy pioneer class who were known well in every community with which they came into touch for their integrity and simplicity of truthful uprightness. After a limited residence in Dutchess county, they moved into Saratoga and Albany, New York.

Adrian Hegeman, the second brother of this interesting family, was the great-grandfather of the branch of this family now located in South Dakota and was married to Bashaba Palmer in New York. His life was spent in canal building, boating and shipping, and he was the father of eight children whose names are given in order of their birth: Cornelius, Micah, Peter. John, Esther Sallie, Peba and Jane; four boys and four girls. The old Dutch burial ground of Clifton Park, New York, contains the remains of both Adrian and Bashaba Hegeman who died at Half Moon, Saratoga county.

John Hegeman is the grandfather of the Dakota branch, and was married to Ere Johnson in 1818. By hard labor and careful management they in time became known as among the most thrifty of the local families where they then resided, having also come from Holland and settled in Saratoga, New York, where the father John Hegeman was actively engaged in farming, milling and lumbering for a number of years. His wife departed this life in the year 1854 and he in the year 1860 in the county of Fulton, New York. The names of the children of John Hegeman are as follows: Peter J., John A. (died in infancy), Margaret (also died in infancy), Caroline, Hezekiah, Bethsheba, Martha A., Micha and Hannah; nine children in all.

Peter J. was also father of nine children, Adrian (died in infancy), Magdaline (died in infancy), Eva A., Peter J., Daniel (died in infancy, Eva Ann, John A., Jennie, and Sarah C., who is the wife of John H. Hendrecks.

Hezekiah Hegeman was the father of George and Hezekiah, Jr., both of whom reside in the city of Schenectady, New York.

Martha Hegeman was married to James H. Roberts of Fulton county, New York, and to this union were born the following children: Netta, Minnie, John and Ella. Micah Hegeman is the father of two children Julia and Roy now deceased, while Hannah the youngest sister married Darius Baker and to them were born five children namely: Nellie, Carrie, Bennie, Alice and Hannah.

Peter J. Hegeman is the father of the South Dakota lineage of the Hegeman family and grew to manhood in the state of New York where he married Miss Catharine Allen who was a daughter of Daniel Allen, a native of Scotland. Catharine Allen's mother Magadaline Houghtaling was what was known as Mowhawk Dutch of New York, and her mother was a daughter of Lord Etherington.

The Allens came as early settlers into the state of New York and were of Scotch descent. Daniel Allen was one of seven sons and the Houghtalings are still residents of New York state

Peter J. Hegeman was married in Perth, New York, and afterwards settled in Gloversville, the same state, engaging actively in the occupations of farming and manufacturing in which city he lived until 1864 when he moved to Sparta, Wisconsin, and there again engaged in manufacturing until the year 1878 when he moved to Brookings county, South Dakota, and settled eight miles east of where the town of White is now located, taking up one hundred and sixty acres of land as a homestead and also a tree claim, remaining upon said land and cultivating it for eight and one-half years after which time he moved to White and there lived a retired life until the year 1892, in which year his wife Catharine passed away upon the 27th day of May. His home having been broken by the hand of death, he then removed to the town of Brookings and made his home with his daughter Mrs. Eva A. Wrigh, where he die, October 16, 1900.

Peter J. Hegeman was a man who lived an upright, honorable life and was well spoken of by his fellow citizens, thus going down to his grave in peace and showing that the ancestral teaching of the Hegeman family, which tenaciously clung to the religion of the Methodist Episcopal church, had not been taught to him in early childhood in vain. The above statements will, however, only appear too modest when we state that under urgent and peculiar circumstances Peter Hegeman walked to Brookings twenty-three miles in order to be present and to aid in the organization of a Masonic lodge in that place, he having previously became a member of the above order in Gloversville, New York, in the year 1860.