I have recently obtained information about my Ibberson which may be helpful to you.
Thomas Ibberson b. 1838 in Worsborough Dale, York, England
Married Elizabeth Scargill, lived in Wormbwell, York, England until immigrating to the U.S. after the 1881 census in england.
Have found a connection to Ibberson who lived in Osceola Mills, Pa, moved to Ohio then on to Michigan.