Daughter of Amos and Elizabeth died in 1862 at about age 3. The same year as her brother Amos W.
Find A Grave, database and images (https://www.findagrave.com : accessed 05 February 2018), memorial page for Augusta Smith (1859–1862), Find A Grave Memorial no. 82413406, citing Coopers Plains Cemetery, Coopers Plains, Steuben County, New York, USA ; Maintained by Jim Mayer
It may be possible to confirm family relationships with Augusta by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Augusta: