Individual Details

One of the online databases states that Benjamin West was an adopted child of Williston West and Susannah Bosworth. Another said it was Williston - I doubt either was.

1830 Census. Perry, Franklin Co, Ohio
Benjamin West: 2m -5, 1m 30-40. 1f 20-30
He was living next door to Minard Pickle.

I believe Benjamin and Anne also moved to Schuyler Co IL along with the Avery & Pickel families and probably Benjamin's brother Williston West who had married Anne's sister Polly.
1840, Precinct 2, Schuyler Co IL
Benjamin West: 1m 5-10 [Asaph], 1m 10-15 [David], 1m 30-40. 1f -5 [Mary], 1f 5-10, 1f 30-40

1850, Camden Twp, Schuyler Co IL, Hh 53
Benjamin West, age 50, b. NY. Anna, age 46, b. NY
Asaph, 16, b. Ohio; Mary 11, b. IL; William 4, b. IL

According to the Illinois Statewide Marriage Index online:
Asa West married Mary A. Hawkins on 31 Jul 1853 in Schuyler Co.

A David West, age 24, b. Ohio, also lived in Camden Twp, Schuyler Co, 1850, with his family, Hh 1 - wife and children all born in Illinois. Ocuupation given as cooper. Lucinda was 20. James W. 4, Asa 1. Malinda Carter 14, Philip Carter 12, Thomas Meeks, 16, a cooper. James Meeks age 14. These young people all born in Illinois.
According to the Illinois Statewide Marriage Index Online:
David West married Lucinda Carter on Christmas Day, 1844 in Schuyler Co IL.

There was a Williston West - by 1860 David will have a son named Williston. Williston lived in Camden Twp, too, Hh 62; he was age 55 and born in NY. Probably Benjamin's brother. Polly West, 51, b. NY. Hezekiah Wilcox, age 35, b. PA listed with the following children: Williston 10, Melissa 7, Samuel 1, all born in Illinois.

1860 Census. Kirksville, Adair Co MO, Hh 10
David West, age 33, b. Ohio. Lucinda 30, b. IL
Benjamin West, age 60, b. NY. Anna, age 54, b. NY
Mary A., 24, b. IL. William 13, b. IL
James, 13, b. IL. Asa, 11, b. IL. Williston, 7, b. IL. E. A. [female[ 5, b. IL, and Mary M. 2, born in Missouri
Three young men, a blacksmith and two day laborers, were apparently boarding with the family.

Benjamin must have died following the 1860 census. Anna went back to Illinois with the youngest son, William.

Birth	1800	New York
Marriage	15 Apr 1824	Franklin County, Ohio - Anna "Nancy" AVERY
Death	Bet 1860 and 1870

Spouse	Anna "Nancy" AVERY (1804 - 1870)
Child	David West (1826 - )
Child	Living
Child	Asaph "Asa" West (1836 - )
Child	Mary West (1839 - )
Child	William Henry West (1846 - 1924)

Father	Williston West ( - )
Mother	Susannah Bosworth ( - )
Sibling	Williston West (1795 - 1874)