The objective of this study is to make T-cell depleted stem cells from a family member who is a half match (haplo-identical) available on an expanded access basis to patients receiving one or two unrelated cord blood transplants who are at a higher risk of not engrafting in a safe amount of time. The purpose of the related stem cells is the give the bone marrow a "jump start" towards recovery. Ultimately, the cord blood cells will grow and permanently rescue the bone marrow.