The Farmers Daughter was built in 1816 at Sandy Creek, NY. Being a very early ship plying the waters of lake Ontario there is little information about this ship. What I have found is listed on this web page.
Daivd Swayze's Database
The first reference I found related to the Farmers Daughter came from Daivd Swayze's online database of shipwrecks. While searching the database I found that the Farmers Daughter has the closest dimensions to the Oswego mystery wreck of any wreck in the data base lost in Lake Ontario. Base on the information found in the database I started looking for any other information that I could find on the wreck.
Most of the newspaper articles listed on this page are of the comings and goings of the Farmer's Daughter in and out of ports along Lake Ontario. These articles show the area of the lake that this ship frequented and the kinds of cargo that it carried.
A search of enrollment documents for the Farmers Daughter turned up 10 enrollments from the date starting in 1817 and ending 1829. Based on this one might assume that the Farmers Daughter sunk no earlier than 1829.
Possible Identity of the Oswego Mystery Schooner
Below is a table listing the features that have been obtained from the data on this page as well as the ROV footage of the Oswego mystry shipwreck. The source of the information is given. The data below makes a good case for the Oswego Mystery wreck being the Farmers Daughter but I think it is still missing one piece of data.
What is needed is a single newspaper article that will connect the sinking of the schooner Farmer's Daughter and the Oswego mystery wreck. An article that gives some details about where the Farmers Daughter sank, what cargo was on board at the time, what caused the ship to go down or what happened to the crew. To date this article has not been found so for the time being the name Farmer's Daughter can not be applied to the Oswego Mystery wreck.