Mrs. Cofran is a deceased resident of Vault 111.
Mrs. Cofran managed to secure a place in Vault 111 just before the bombs fell and became an occupant of one of stasis pods. She died though from asphyxiation inside of her pod, like much of the other vault dwellers, due to the life support to the pods being switched off, during the Institute's kidnapping of Shaun in 2227. She is found next to her husband and her daughter, Cindy.
The monitor places her in stasis pod B4. On the floor right before her pod however, C13 is written in white paint. There is similar confusion for the rest of the pod occupants in this section. The pods in the other section with the Sole Survivor (C1-C8) have been assigned correctly.
Mrs. Cofran appears only in Fallout 4.