Maybe about 1801 in NY. I think I found her on the 1850 census living with her daughter, Sarah and Sarah's husband Elijah H(a)errington:

1850 United States Federal Census
Name: Lydia Chidister
Age: 49
Estimated Birth Year: abt 1801
Birth Place: New York
Gender: Female
Home in 1850 (City,County,State): Liverpool, Medina, Ohio
Household Members: Name Age
Lydia Chidister 49
Daniel Herrington 7
Elijah Herrington 35
Eri Herrington 12
Huldah Herrington 28
Loyal Herrington 5
Sarah Herrington 32
Sarah A Herrington 1
Source Citation: Year: 1850; Census Place: Liverpool, Medina, Ohio; Roll: M432_709; Page: 382; Image: 462.

Thanks!
Maureen