Edmund and Lydia's marriage was short-lived, as she died September 14, 1860, according to her tombstone, and is buried in the West Grove Cemetery, Centreville, Wayne County, Indiana. The Borton/Duell family Bible record, however, records her death as "Lydia B. Pierce departed her life the fifteenth of the eight month 1860".
Lydia's family were Quakers, and I haven't found any evidence that Edmund was, though I do not know what faith the Pierce family was.
Ancestry user oregontrailgal has provided me with information from the Bible, and has posted the information online.
I have yet to find the family in the 1860 census. They could be in either Preble County, Ohio or Wayne County, Indiana. Edmund was living in Wayne County, Indiana in the 1850 census. After Lydia's death, he married Catherine GROENENDYKE in 1864 in Madison County, Indiana - my line.
Preble County, Ohio and Wayne County, Indiana are both border counties, so I will have to continue to search for records in both places.