I found an 1880 NY state census that lists Lottie Peachy as the daughter of George Peachy and Elizabeth Cutts. It lists her year of birth as 1874. But since it lists George's year of birth at 1850 (according to Morton Cem. records it's 1852) and Elizabeth's year of birth as 1854 (according to Morton Cem. records it's 1853) incorrectly, it could just be a case of misinformation. The city they're listed as living in is Hamlin, Monroe County. I know Lottie is listed as born in Kendall Mills, Orleans County. Kendall and Hamlin border each other so it is possible that the census takers divided it differently than the townspeople. Is it possible that this is the link we've all been looking for?