I am not related to these people, but I searched the 1880 census CD's in LA. There were several E. Adkins, so without further information it would be difficult to guess if any were your EH. There was only one Susan Couch, listed below:
Census Place: 2nd Ward, Winn, Louisiana
Source: FHL Film 1254474 National Archives Film T9-0474 Page 606B
Relation Sex Marr Race Age Birthplace
George C. COUCH Self M M W 70 SC
Occ: Farmer Fa: --- Mo: ---
Alletha COUCH Wife F M W 65 SC
Occ: Keeping House Fa: --- Mo: ---
Susan COUCH Dau F S W 37 AL
Occ: Keeping House Fa: SC Mo: SC
Sarah COUCH Dau F S W 21 LA
Occ: Keeping House Fa: SC Mo: SC
I hope this helps!