I did find this...Which you probably have.
Family search.org
1880 Census Thornton,Illinois

Head of household:
Christian Goodshaw 35 yrs Born Prussia
Occupation: Laborer Parents Born Prussia
Mary A. Goodshaw wife 21 yrs old Born: Canada Keeping house
Father Born: Ohio Mother Born: Canada
Levi Goodshaw 3 yrs old Born: Canada
Lucinda A. Goodshaw 1 yr old Born: Canada

I found
Christian Goodshaw died 1/23/1901 55 yrs old Cook County,ILL
Certificate# 00000024

Unknown Goodshaw died 8/7/1889 9 yrs old Chicago
Cook County,ILL Certificate# 00003485

That is all the Goodshaw deaths I could find.

Then in the census Levi had a sister Lucinda.

Lucinda Goodshaw married Leonard Fones 12/24/1898
License# 286086 Cook County,ILL

I looked in the census for Leonard and Lucinda Fones and I couldn't find them in the U.S unless their last name was spelled different.I will still try and find something else..