Re: Prudence Chesebrough-Syracuse NY.
I found this in the 1910 census, not sure if she is the woman that you are looking for.She was living in Watertown, Jefferson Co. NY.
Basear, William 60, m1 married 8 years bNY. Head of house
angeline M wife 64, m2 married 8 years bny f-eng, m-ny
Greerr, Nayne son 29 s bny f-ny, m-ny
barber, prudence n mother-in-law widowed 90 10 children, 4 living bny f-US m (I can't read it).
hope it helps