Phebe Jane Cooper born 1816 in Kentucky

I would like help finding the family of Phebe Jane Cooper born 28 Jan 1816 in Kentucky. Her father's name was John Cooper, which was extremely common. I need more information to go further.

Phebe married Jesse David Runyan 1 Jan 1835 in Fountain Co., IN. Jesse was born 17 Apr 1810 in Kentucky, the son of John William Runyon and Patty Barrett.

Their children were:

Elizabeth Runyan born about 1836
Mary Jane Runyan born 17 Aug 1840
John Runyan born ca 1843
Harrison Runyan born ca 1845
James Runyan born ca 1847
William Henry Runyan born ca 1850
Louis F. Runyan born ca 1852
Franklin Runyan born ca 1852
Charles Runyan born ca 1856
Emma Runyan born ca 1858
Jesse Runyan born ca 1863