Miami, Florida (CNN) -- The parents of an injured baby girl who was flown to Florida for treatment after Haiti's earthquake have been told what they already know: They are the biological parents of the little girl. The International Red Cross notified Nadine Devilme and Junior Alexis in Haiti that DNA testing proves that the infant is theirs, said Mark LaPoint, an attorney representing the baby. Rescuers dubbed her Patricia, but her parents call her Jenny. On Wednesday morning, Miami-Dade Circuit Judge Cindy Lederman decided that Jenny's parents will get to take her back to Haiti after doctors and nurses in Florida finish treating her.
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NEW: Florida judge says parents can take Jenny back to Haiti after her medical treatment ends
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NEW: Timing of parents' trip not set; April 7 hearing will provide update on baby's condition
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Parents say it was "God's will" that the child went to Miami for treatment of quake injuries
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The child, apparently mistaken for orphan amid quake chaos, is in foster care in Florida
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