Since Tioga County, Pennsylvania borders New York state, it's very likely that Catherine's parents could be James & Margaret Dildine who were living in Hornellsville, Steuben Co. NY in 1840 & 1850. There is a tree at Ancestry(Kaylor/Mercer/Hendershott Family Tree) showing them, but only lists one son, John R. Dildine, his wife Mary Jane & their sons Zenus W. Dildine, Zacharias Dildine; and daughters Charity (m- Thomas J. Taylor) & Margaret. By the 1860 census, James & Margaret are living with son John and his family. James and Margaret were both born in Pennsylvania.
The Hendershot line in this tree at Ancestry is from Casper Hendershot (1699)/Christina Shipman.
1860 United States Federal Census Name: James Dildine
Age in 1860: 82
Birth Year: abt 1778
Birthplace: Pennsylvania
Home in 1860: Hornellsville, Steuben, New York
Gender: Male
Post Office: Hornellsville
Value of real estate: View image
Household Members: Name Age
John Dildine 55
Jane Dildine 47
Charity Dildine 15
Margaret Dildine 11
James Dildine 82
Margaret Dildine 78
1850 United States Federal Census Name: James Dildine
Age: 71
Estimated Birth Year: abt 1779
Birth Place: New Jersey
Gender: Male
Home in 1850 (City,County,State): Hornellsville, Steuben, New York
Family Number: 155
Household Members: Name Age
James Dildine 71
Margaret Dildine 69
1840 United States Federal Census
Name: James Dildine
Township: Hornellsville
County: Steuben
State: New York
Free White Persons - Males - 60 thru 69: 1
Free White Persons - Females - 50 thru 59: 1
Total - All Persons (Free White, Free Colored, Slaves): 2
Persons Employed in Agriculture: 1
Total Free White Persons: 2
Total All Persons - Free White, Free Colored, Slaves: 2