I have been trying to send this as a reply to your post, but have been unable to. I hope you see this.
How sure are you of his place of birth?
In 1920 William, Nannie and children Elizabeth and William are in Shiloh, Neosho, KS. William states he was born in IL, his father in IN and his mother in NY.
In 1910 they are in Drum Creek, Montgomery, KS. William states he was born in IL, his father in IN and his mother in NY.
In 1900 they are in the same location with children Myrtie, Bessie and Lizzie. William states he was born in Nov 1852 in IA and that both of his parents were born in IL. Nannie and the two oldest children were born in MO.
There's this family in the 1860 census for Jefferson, Warren Co, IA that I think is a likely match:
SHOOK, Elijah age 45 b. IN
Susannah age 41 b. NY
Elizabeth age 20 b. IL
Martha age 18 b. IL
Melvina age 16 b. IL
William T. age 6 b. IL
Geo. W. age 4 b. IA
Delitha age 1 b. IA
I am looking for the parents of William Thomas SHOOK, born 09 Nov 1853, Liberty, Adair Missouri, USA, died 24 Jan 1923 Oklahoma, USA. He was married to Nannie Lee Lancaster 06 Dec 1883 in Lexington, Lafayette, Missouri, USA.