We have 2 distinct Coker families and at least 1 Reece family in Marion Co AR and environs. However, I find no information on your Elizabeth Louise Coker and James Edmond Reece.
According to the book "Our Coker Kin" (out of print for years), there must be at least 20 or more Coker families in the country with beginnings all along the East coast. I'm afraid your people are not among those who settled in Marion Co AR in the very early 1800s.
I don't find your relationship anywhere on http://worldconnect.rootsweb.com
nor on http://www.genforum.genealogy.com