According to this marriage record on Ancestry, her name appears to be Synthia Cocker (Cynthia Coker):

Louisiana Marriages, 1718-1925
about Scynthia Cocker
Name: Duriman Buckston
Spouse: Scynthia Cocker
Marriage Date: 25 Aug 1885
Marriage Place: Rapides

I'm not related...just saw your query come across the LA-Calcasieu mailing list.

Becky