Did not find his parents, but found something about Nancy Spencer's father. It's from Civil War Soldiers from Banner Township (Fulton County) Illinois.
Spencer, William H.—Civil War Pension Application, National Archives, Washington, DC: Married Nancy J. Fouts on 28 August 1862 in Canton (Fulton) Illinois. She was 17 and he was 21 years old. They had 7 children—5 girls and 2 boys. Children less than 16 years of age in 1896 were their two sons: Arthur Bennett born 19 June 1883 and Clarke Earle born 17 February 1885. One of the daughters was Minnie J. Tucker, wife of Charles Tucker. Emma J. Spencer was seriously ill at Battle Creek (Calhoun) Michigan in 1902. Jennie L. Spencer was also one of their daughters. William Spencer listed pneumonia and typhoid fever as causes of his lung fever at Holly Springs, Mississippi, in December 1862. He died either in July or August of 1896 as a result of a kick by a horse on his farm. James M. Tucker helped carry him into the house, where he expired after an hour. Ann Van Middlesworth of Canton was his sister. In 1898 his widow’s property was assessed as 110 acres in south part of Section 29 in Farmington Township, Fulton Co., Illinois worth $7000. They carried 2 mortgages on the land. William had a life insurance policy which gave each son $2000 to cover school expenses. In 1902 David D. Hagey stated that “I worked for [Nancy Spencer] from the date of W.H. Spencer’s death. She hired me $20 a month 9 months and $10 a month 3 months of the year with board. I could not tell exactly what the place produced but no grain was sold to amount to anything. She relied on feeding hogs and selling them and that was all she sold except two colts while I was there. She sold hogs to come to between $300 and $350 each year. She got about $100 for the two colts. I did not know of any other income she had.”