I have found an Arkansas marriage record of Alice Rutledge and John Eidson married 1 Jul 1880. I have also found Alice on the 1870 US census as an "ast. housekeeper" of the Stallcup family in Jonesboro, Craighead, Arkansas.
On the 1870 Census there is an "Alis" Rutledge living with an Elizabeth Ruthledge who is a widowed 30 year old in Moore, Oregon, Missouri. Their neighbors are the Stallcups. I have no idea who Elizabeth is. Could it be an aunt of hers?
I have little information on this line. Hope this helps someone.