"Memorial To The Pioneer Women Of The Western Reserve", 1896
Mentions that Abigail and Michael Foster arrived in Cuyahoga County with 11 children and specifies 5 female names (Eveline, Sally, Eunice, Nancy, and Matilda). This child's name has not appeared in any books or documents, thus far searched.
[UPDATE: The name Lydia is mentioned in a book by Ebenezer Foster, "Early Days of the Pioneers Cuyahoga County and Brooklyn Township", 1880.
"A short time after father was married, they moved about twenty miles away, rented a house somewhere between Norwich and Preston City and kept a grocery store. While there, they lost their second born, a little girl, Lydia Foster."]