Do not confuse this man with Andrew Hershey (1697-1754) who also came to Pennsylvania about the same time. Some sources claim the men are cousins, but genealogical information proving this is as yet uncertain. A descendant of Andrew Hersche (1702-1794) has been Y-DNA tested,  but no descendant of Andrew Hershey (1697-1754) has been tested. Until a genetic comparison can be done, it remains speculative as to whether the two Andrews were indeed cousins.
[Notes] Andrew married Mary Catharine in 1725 in , Lancaster, Pennsylvania.
Andrew and Mary had the following children:
+ 32 M i Christian HERSHEY + 33 F ii Maria (Mary) HERSHEY + 34 M iii Benjamin (Bentz) HERSHEY + 35 M iv Andrew H. HERSHEY + 36 M v John Bentz HERSHEY Reverend + 37 M vi Jacob HERSHEY + 38 M vii Abraham HERSHEY + 39 M viii Isaac HERSHEY + 40 M ix Henry HERSHEY 41 F x Catharine HERSHEY was born in Lancaster Co., Pennsylvania, USA. [Notes] 42 F xi Adli (Odie) HERSHEY was born in Lancaster Co., Pennsylvania, USA. [Notes]
+ 43 M xii Dr. Peter HERSHEY (Dr.)g
Andrew (1702-92), also a Mennonite preacher, took up five hundred acres of land east of Big Chikis Creek and south of the Lancaster and Harrisburg turnpike, in West Hempfield Twp.
In his book, The Relations of Milton Snavely Hershey, Lawrence Berger-Knorr (see source list) gives information about the 12 children of Andrew Hershey (page 11). However, he ascribes them to the wrong father. Andrew's will (see below) was written in 1792, but the other Andrew Hershey died in 1754.
From Hershey Family History by Henry Hershey, 1929, Mennonite Publishing House, Scottsdale, PA, pp 16-18.
Children's names set in Bold
COPY OF THE WILL OF ANDREW HERSHEY, 1702-1792
In the Name of GOD, Amen.
On the 22nd Day of March in the year 1792. I, ANDREW HERSHEY of Hempfield Township, County of Lancaster, Pa., being old and weak in body, but of sound memory and understanding, "God be thanked," and calling to mind my mortality, and being ‘blessed with some worldly estate, I therefore make this as my last will and testament in manner following: First—I commend my soul to the grace and mercy of God, and my body to be interred in a Christian manner.
Item 1. It is my will and I order that all my just debts and funeral expenses shall be paid out of my estate.
Item 2. I give and bequeath my plantation and tract of land on which I now live, being three hundred and eighty-eight acres, and allowance according to the lines in the deeds mentioned, unto my four sons to wit Andrew, Abraham, Isaac and Peter, to each of them his share as they have it already surveyed and divided the same, together with the sixty-seven acres which I purchased of Velty, and had the deed made upon my son Christian, who, afterward gave it to Peter and is included in the division as by the same to them, their heirs and assigns forever, for the price and value to which they heretofore consented and agreed upon, and have already paid a part there to their brothers and sisters as hereafter mentioned.
Item 3. I further give and bequeath unto my four above mentioned sons, Andrew, Abraham, Isaac and Peter, my tract of land lying in Rapho Township, containing sixty-one acres more or less, as the lines and deeds will specify in equal shares as the same is divided and surveyed to them, their heirs and assigns, forever for the price and value as above mentioned.
Item 4. I give and bequeath my plantation or tract of land lying in Dauphin County, Pa., on the Quittobehilla Creek at Swatara, containing four hundred acres more or less, as the deed and lines will specify, unto my two sons, Bentz Hershey and Henry Hershey, in equal shares as the same can be divided to them, their heirs and assigns forever, for the price and value as above said, as they as brothers and sisters have heretofore agreed upon and having already paid a part unto them.
Item 5. As to the land which I have heretofore by deed conveyed unto my two sons, John and Jacob, the same shall also be included in the account as well as the others, and for the price as aforesaid and agreed upon between the brothers and sisters, of which they have already paid a part.
Item 6. I give and bequeath unto those of my children which have not received any land of me, to wit; Christian, Maria, Catharine, and Adli, to each of them the sum of fifty pounds aforehand, besides the valuation of the lands.
Item 7. It is my will and I order that all my above mentioned children who have not received land of me, shall each of them have out of the valuation of the land, the sum of six hundred pounds hard money in gold or siiver, besides the fifty pounds above mentioned, including nevertheless what each of them had already received and of this debt each of my sons, to whom I gave land have to pay the sum of two hundred and fifty pounds, excepting Andrew, Abraham, Isaac and Peter, each of them shall pay the sum of three hundred and fifty pounds, which will make up the sum of six hundred pounds to each of them as above mentioned. .
Item 8. I give and bequeath the two hundred and fifty pounds which my four sons to wit; Andrew, Abraham, Isaac and Peter, have to pay after my decease out of the valuation of the lands unto my children who have not received any land of me to wit; Christian, Maria, Catherine, and Adli, to be paid to them in equal shares in two years after my decease, and of the said sum, each of my above mentioned sons has to pay the sum of sixty-two pounds and ten shillings.
Item 9. It is my will and I order that all my children shall be equal sharers of and in all my estate not herein already bequeathed, one as much as the other, excepting unto my eldest son Christian, I give and bequeath five pounds aforehand in lieu of his second share and no more. And lastly; I appoint and ordain my two sons to wit; Christian Hirshey and Andrew Hirshey my only and sole executors of this my last will and testament, empowering them to give, sign and seal and deliver deed or deeds in my name to all of my sons to whom I have given lands to them, their heirs and assigns forever according to law, which deeds so made by them or one of them shall be as good and valid as if I myself had made them, making hereby null and void all former wills and testaments by me made declaring this to be my last will and testament.
Witness my hand and seal on the day and year within said. Andrew Hirshey. (Seal.) Signed, sealed, pronounced and publicly declared by the said Andrew Hirshey as his last will and ‘testament in the presence of Bentz Hirshey, Daniel Hirshey.
Hershey, Scott Funk, Ph.D, LL.D, History and Records of the Hershey Family from the year 1600, The Petite Book Co., New Castle, PA. copyright 1913, 108 pp w/ illustrations. Library of Congress CS71.H574 1913. Available at GoogleBooks: https://books.google.com/books?id=q-r1XwAACAAJ
David R. Hershey Jr. - Family Bible, Book by Rev.Scott F. Hershey, myancestralfile.com
Hershey, Henry, Hershey Family History, Mennonite Publishing House, Scottdale, PA, 1929. Available at GoogleBooks: https://books.google.com/books?id=H8RRAAAAMAAJ
Berger-Knorr, Lawrence, The Relations of Milton Snavely Hershey, 3rd ed., Sunbury Press, New Kingstown, PA, 2005. Available at Google Books 
"A Biographical History of Lancaster County", Alexander Harris. Published in 1882 by E. Barr and Company
1 citation provides evidence for Name, Residence
1 citation provides evidence for Name, Birth
1 citation provides evidence for Name, Birth
1 citation provides evidence for Name, Death
1 citation provides evidence for Name, Marriage
2 citations provide evidence for Name, Arrival
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