 This is an open-label, single institution, phase II study in patients with epidermolysis bullosa EB. The underlying hypothesis is that the infusion of bone marrow or umbilical cord blood from a healthy unaffected donor will correct the collagen, laminin, integrin, or plakin deficiency and reduce the skin fragility characteristic of severe forms of EB. A secondary hypothesis is that mesenchymal stem cells from a healthy donor will enhance the safety and efficacy of the allogeneic hematopoietic stem cell transplant as well as serve as a source of renewable cells for the treatment of focal areas of residual blistering. 