Eileen Murphree McMillin was born in Houston July 1, 1949. She graduated from Memorial High School in Houston and then attended SMU and University of Houston. She was a member of Chapelwood United Methodist Church of Houston and the First United Methodist Church of Texarkana. She was also a member of the Junior League of Texarkana. Eileen was married to Selden McMillin Jr. and had two children Michael McMillin and Kathryn McMillin House.
She was diagnosed with diabetes at a young age and then developed an acute form of leukemia in her early thirties. Her family did all they could for her, including becoming donors at Houston Methodist blood center. During her treatment she was often hospitalized and had to receive blood on a regular basis, so the blood center at Houston Methodist Hospital became like a second home for Eileen and her family. When her battle with cancer ended and she passed away in 1982, her family led by her brother Dennis Murphree and her parents Samuel Eugene and Joyce Murphree raised funds in Eileen's memory. In recognition of this labor of love, the blood center was named the Eileen Murphree McMillin Blood Center at Houston Methodist Hospital in 1984.