From the 1850 Census (13 August):
New York, Chautauqua, Westfield

John Stowell, 50, b. Isle of Man, (no occupation listed)
Jane, 41, b. Isle of Man
Jane, 19, b. England
Elizabeth, 17, b. England
William, 11, b. England
Edwin, 9, b. England
John, 7, b. England
Margaret, 4, b. England

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From the 1880 Census
Household Record 1880 United States Census

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Household:

George ONLY, Self, M, Male, W, 60, CT, Farmer, RI, CT
Jane ONLY, Wife, M, Female, W, 48, ENG, Keeps House IOM IOM
Kate ONLY, Dau, S, Female, W, 6, NY, CT, ENG
Edwin STOWELL, Brother, S, Male, W, 38, ENG, Farm Laborer, IOM, IOM

Census Place Westfield, Chautauqua, New York
Family History Library Film 1254816
NA Film Number T9-0816
Page Number 116D
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William STOWELL, Self, M, Male, W, 40, ENG, Farmer, ENG, ENG
Maria A. STOWELL, Wife, M, Female, W, 33, NY, Keeps House, NY, NY
Minnie STOWELL, Dau, S, Female, W, 5, NY, At Home, NY, NY
Robert STOWELL, Son, S, Male, W, 3, PA, At Home, NY, NY

Census Place Casnovia, Muskegon, Michigan
Family History Library Film 1254597
NA Film Number T9-0597
Page Number 153C
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Looks like it could be your William - wife born in NY. Lots of folks left NY around that time for Michigan for some reason...

Barbara