In the 1850 census for New York state a Danforth Peterson aged 32 is listed as head of household. There is also a Turan Peterson aged 60 listed. Danforth was born in Vermont, and Turan was listed as being born in massechussetts. At the time of the 1850 census they were listed as living in Hermon, St Lawrence, New York. There was no middle name for Isaac, but perhaps this information could be useful as he was 8 at the time of this census, which makes his birth in the 1842 you listed. There is also a Cyrena aged 15, and an Edmund aged 25.