You don't give any dates for Frances, but did find a couple that match in the 1910 Census in Martinsville, Indiana with Frances A. Williamson, aged 64(?) and William, aged 67, having been married 37 years. Children are Georgie, John, Fannie and Walter. Indicates that Frances immigrated in 1872.
William and Frances were married 24 July 1872 in Morgan County, Indiana. The church record (if one exists) may provide additional information about her family. Also, 1872 is the date given as her immigration date fairly consistently through the census records, so wonder how long she would have been in New York, or perhaps she came to the US specifically to marry William.