If I donate my baby's cord blood, will that child have free access to cord blood for a transplant?

No.  When a mother signs the Informed Consent to donate cord blood, she gives up any guaranteed access to that blood.  The blood may not be banked, and if it is banked, it may be released to some one else.  There have been cases where families needed their child's cord blood and got it back from a public bank, but it is important to realize there are no guarantees of access to donated cord blood.  Cord blood donors also do not receive guarantees of priority treatment or waived fees if your child later needs a donor.  The reward for donating cord blood is the possibility that your baby may Be The Match that saves a life.