A rather frustrating brick wall exists for finding the parents of Israel Shreve Beck, who was born and raised and lived in Columbiana County, Ohio in the 1800s. His first and middle names "Israel Shreve" suggest a possible connection with Revolutionary War Colonel Israel Shreve, though none has so far been found, as of 20 May 2018.
https://books.google.com/books?id=0N1HAQAAMAAJ&pg=PA555&lpg=PA555&dq=israel+shreve+beck&source=bl&ots=1CHuDUeuiA&sig=uVSJt5GIGNwLEEKHn7jXYTnwa-Q&hl=en&sa=X&ved=2ahUKEwjN0_-wr5fbAhWj34MKHUUYCf8Q6AEwCXoECAUQAQ#v=onepage&q=israel%20shreve%20beck&f=false
https://books.google.com/books?id=xz9IAQAAIAAJ&pg=PA741&lpg=PA741&dq=israel+shreve+beck&source=bl&ots=cK9jm6h9B5&sig=APJeOhkmdomOq2PKiU1aODpo0yw&hl=en&sa=X&ved=2ahUKEwj2m8-WsJfbAhWK5IMKHfQkA1I4ChDoATAMegQIBxAB#v=onepage&q=israel%20shreve%20beck&f=false
https://books.google.com/books?id=Cy88CpankH8C&pg=PA349&lpg=PA349&dq=israel+shreve+beck&source=bl&ots=C-02UbWSqa&sig=kHBZ71xYo1b1w-GVbR1f6USjwUc&hl=en&sa=X&ved=2ahUKEwjBpfrdsJfbAhVk5oMKHft-AZA4FBDoATABegQICBAB#v=onepage&q=israel%20shreve%20beck&f=false
Page 710
Try Henry, son of Joseph Beck and Sarah Shreve. Henry died in Ohio
http://files.usgwarchives.net/pa/fayette/bios/ellis02.txt
Henry Beck of Whetstone township Crawford County Ohio Being of sound mind and disposing memory being desired to settle my worldly affairs while I have strength and capacity so to do, make and publish this my last will and testimony hereby revoking and making void all former wills and testaments by me at any other time made. After my just debts and funeral charges is paid. I give unto my beloved wife the mansion house, yard, and 2 cows and 1/3 of the proceeds of the farm while she lives, also the household goods with the beds and bedding. After her decease it is my will that they shall be divided between my sons James M. and David S. Beck I further give and bequest unto my son James M. Beck and his heirs forever the field that lies west of the Beman (?) road containing ten or twelve acres also 23 acres on the east side of my wood lot lying north of the Mansfield road and I also give and bequeath unto my son David S. Beck and his heirs forever all the land I own on the east side of the Beman road also the orchard on the west side of said rode also fifteen acres of woodland on the west side of my woodlot being north of the Mansfield road. I also bequeath unto the aforesaid James M. and David S. Beck what stock or property I may have and it is my will that the said James and David shall pay jointly the several sums hereafter named - first two hundred dollars to Sarahan Van Voorhis and one hundred dollars to Henry Beck and 175 dollars to Israel Beck and seventy five dollars to Susan Carlile and 1 dollar to Bejamin M. Beck and 1 dollars to Austin P. Beck and I leave my son James M. Beck my Executor in testimony whereof I have set my hand and seal this 10 day of February 1851. Signed: Henry Beck Witnesses: Jacob Hester, John Decbler Approved by the Court: 1 April 1851
transcribed from a copy from the Ohio Record of Wills (OH-16-1-118), Crawford County, Vol. 1, pages 188-189
Thank you for all this excellent research, which is most helpful! I feel we are getting ever closer to making some kind of connection to Israel Shreve Beck's parents--yet I've not found definitive evidence of his father and mother. I'm especially intrigued by the mention of Israel Beck in Henry Beck's will--since clearly this indicates that Israel Beck was a person of some importance to Henry Beck--and this must be one and the same Israel Shreve Beck.
That's a great suggestion--and when I run through those, I don't see many people in that age range reported in the US census 1850 living in Ohio. I get about 40 results on that search, with most people aged 0-40, and not really anyone much over the age of 40. This is just Ohio, though, and it's possible Israel Shreve Beck's parents might have been elsewhere. I've not yet been able to find Israel Shreve Beck's wife's parents in the 1850 US Census either; they are Lewis Lyder and Susanna (Bradfield) Lyder.