Well since I don't know of any other Tuffs/Tufts who came from Illinois other than my family lines, I think it's possible. Gathering what I can from census returns, it looks like my John & Jennie (Tuffs) Peterson had 3 girls and 3 boys. In order born--Frank M b 1896, VIOLA B b 1898, Albert William b 1900, GRACE b 1903, HELEN b 1906 and Traverse H b 1913. Are any of those girls possibly your grandmother? Jennie, who might be Jane, died in 1936 and John Peterson died in 1949.