"We are thrilled to share that Sarah is out of surgery. Her doctors are very pleased with both her progress during the procedure and her prognosis for recovery," said the child's mother, Janet Ruddock Murnaghan.
The Pennsylvania girl, who suffers from cystic fibrosis and was said to be near death's door without a transplant, entered surgery early yesterday after lungs from an adult donor were identified late on Tuesday.
The case drew international attention when the child's family gave interviews to cable news networks and pleaded with the US government to bend the rules and allow her to be put on the list for an adult lung transplant.
"The surgeons had no challenges resizing and transplanting the donor lungs -- the surgery went smoothly and Sarah did extremely well," her mother said.
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"We are elated this day has come, but we also know our good news is another family's tragedy. That family made the decision to give Sarah the gift of life -- and they are the true heroes today."
Last week, a US judge took the unusual step of ordering that the child should be placed on an adult waiting list, after Secretary of Health and Human Services Kathleen Sebelius declined to intervene and the family filed a lawsuit, alleging that current US standards discriminated against children.
A change.Org petition by the girl's family and friends appealing for new donor policy regarding children in need of transplants drew more than 372,000 supporters.
The practice of transplanting adult organs into children is relatively rare.
On Monday, the Organ Procurement and Transplantation Network agreed to revise its policy on transplant candidates 11 and under, which previously stated that children may only be considered for adult lungs if there were no other suitable candidates over age 12.