The 1860 US Census has two Corbett families in Cincinnati, both men stone masons, 40 years old, born in Ireland:
"United States Census, 1860", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MC2T-FS9 : 13 December 2017), Michael Corbett, 1860. Born Ireland 1820. Micheal had a two-year-old born in Connecticut, so he only arrived in Ohio around 1858-59.
"United States Census, 1860", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MC2T-F9N : 13 December 2017), James Corbett, 1860. Born Ireland 1820. James had a three-year-old born in Ohio, and his next youngest was 14, born in England. He could have arrived around 1851.