If you are still monitoring this list, here is the answer to your question about the parents of joseph B Lathrop.
William D Lathrop
Birth 01 Sep 1793 in Lima, Livingston, New York
Death 1860 in Clinton Co, Michigan
1792 – 1880
They are both on the 1860 census for Bengal, Clinton, Mi as is their daughter Cyrine and after William's death in 1860, Susan went went on to Watertown, Jefferson, Wi. She is on the census alone for 1880.