On Familysearch.org under the North Carolina Birth Index 1800-2000 I found a Deloris Lucas b. 27 Oct 1941 in Rocky Mount, Nash Co., NC. Father was Lawrence Batts and Mother was Alma Lucas. If this is your Grandmother then Delores has a sister named Sherrie Viola Lucas, who was born 16 Oct 1940 also in Rocky Mount.
I could not find anything for Foster Lee Parks.