Grandmother Elethear Coltheus (Cole, Fulton ) Green

I'm trying to find more information about my Great 3x Grandmother Elethear Coltheus (Cole, Fulton ) Green
Here is whatWe Know she was born May 2, 1800 in Kingsbury, Washington County, New York. Which I found out its possible that she was born in Kingsbury, North Warwickshire, England.
And its why we can't found any birth record in New York.
Also that her maiden Name was either : Cole, of Fulton, One of her daughters put Fulton as her birth name on her death cert. So Fulton or Cole is a previous married Name . If Cole is her Maiden Name we found a Jonathan Cole in that area of New York who could be her Father
She Married my Great 3X grandfather Adolphus Greene/Green on March 15, 1821 in Kingsbury, New York Elethear is Adolphus's 2nd wife , His first wasSally ( Sarah)Roderick who died in Jan. 1818 We found her Grave in in Rush, Monroe County, New York Shedied of birth complications. There are a fewRodericks buried there and I just need to figureout who is who. Sally was born in a place called Saino at Brim Parish of Neso Rodman, Kudeshire, Old England on Mar 2, 1794, I can't find this place.Sally and Adolphus had one son Willard K. Greene ( She died found his birth),who went on to adulthood .
Elethear and Adolphus had 12 children there is a 13th one we are not sure of, the other 12 we have found their history.


If any one can helpme Please let me know . Thank you