I found this census record, I hope it is your family.
1870 Ill, Lake, Libertyville, June 10, 1870
Atkinson, John, 71, M W, Farmer, born Ireland

Catherine, 68, F W, Ireland

Mathew 27, M W, working on farm, Ill.

Sarah 23, F W, Ill.

John 25, M W, working on farm, Ill.

Jane 24, F W, Ill.

William 14, M W, Texas

Joseph 9, M W, Texas

John 1, M W, Ill.

Mary 3/12, F W, Ill.