I have an abstract of a will from Elbert County, GA that names a Delilah Cook. Could this be your family?
Thomas Bullard's will was recorded May 9, 1823. His wife was Ann Bullard. I think Delilah is his daughter who married a nameless Cook. Other Cook's listed in the will may be Delilah's children: Willy Cook and Allen Cook. If this is your family I will share the abstract.