There are several families at Hillsborough, Vernon Co., WI, on the database of the 1880 Census at FamilySearch.org.

Bartholomew CORNELL, 68, NY NY NY; Betsy, 52, NY VT ENG; ch. Bony, 19; Alfred, 13; James E., 12; & Jane, 9, all b. WI.

Rinaldo CORNELL, 29; Ann, 25; Mary Jane, 5; Flora, 3; & Ashley, ten months, all b. WI.

George, 25, PA NY _; Sarah, 18, WI ENG ENG; Willis G., two mos.

I have not connected these to my line, which is from
(1) Thomas CORNELL who m. ca. 1673, Susannah LAWTON.
(2) George CORNELL (1676 - 1752) & 2d wf. Deliverance CLARKE (1678 - 1732), m. 10 Jan. 1699, Portsmouth, RI.
(3) Philadelphia CORNELL, b. 23 N 1702, Portsmouth, RI, m. 1722, Portsmouth, RI, Thos. COOK.

The index to the New York Census of 1790 has many CORNELL families. Because of the names, I think my line had members in Easton, NY, which had a James and also Daniel, Ebenezer, Gideon, John, Joseph, Lemuel, Seth, & Thomas CORNELL. James was the only one of your names that I see.