I have the ancestry for a Mary Tower, born 12 April 1813, died 29 December 1881 in Dakota County, MN. I don't have a birth place for her but this sounds like the right person. her family was in Saratoga NY, in 1808 and in NY in 1816. They then moved on to Ohio where her father died in Ashtabula 1871.
I have records of other Tower families moving to Hanover in 1810 but no Mary in those families.
I have been unable to find any Towers in the 1810 census in Chautauqua in Niagara county in the 1810 census.
If you will contact me at frontiernet.net I would be glad to exchange information with you.