William Chellis Hooker was another person. He was the son of Harley Hooker and Mary Beardslee Hooker, born 13 Aug 1828 in Auburn New York. He married Anna Maria Hume. They moved to Carthage, Hancock County, Illinois, and had several children, including Chellis Edward Hooker, born born 1870 in New York.
You can see his Find A Grave profile here: https://www.findagrave.com/memorial/231230463/chellis-edward-hooker
The middle name of William Hooker of North Carolina, son of William and Sarah Amelia Hooker, is unknown.