Do you know where the Eatons came from before NY?
My g g grandmother, was Frances Eaton Chatwood, who emigrated with her husband, Wm. Thomas Chatwood and 7 children. They arrived in NY in 1849, then to Dodge Cty, WI, Waushara, and Columbia Counties, before ending up in Winona, MN.
They were from the Market Drayton area of Shropshire.
Not sure if this means anything or not!