This is in response to an old message, so I am not sure if you check this forum anymore or have already found the information you seek, but I have information about your Birdsall family.
Olive was the daughter of Hiram Birdsall and Sally Ann Mead. They had 4 daughters and 5 sons. Olive's twin was named Caroline. My records state that Olive married a George Lutz and had at least 2 children, Delphine & Mack.
Hiram and Sally Ann may have lived in Moravia, NY for a short time before moving to Michigan. Hiram (b 1795) was a son of John Birdsall and Phebe Seaman.
I have more information if you would like it. Feel free to email me at eikome "at" hotmail "dot" com