K Sig RC beat me to this. But here's a quote from an article published in September of 2003 that summarizes a past appeal:
"In the Schindlers' latest petition, they asked Greer to let their daughter undergo speech therapy, saying Mrs. Schiavo already tries to speak. As a side effect of the therapy, Mrs. Schiavo might be taught to eat and take liquids without a feeding tube, which means its removal won't be a death sentence, the Schindlers argue.
"It is Mr. and Mrs. Schindler's firm belief that Terri could have been weaned off her feeding tube years ago," Anderson said, "and would be speaking today if Michael Schiavo had only cared enough about her to see to it that she received the proper therapy."
Greer, however, has consistently ruled against the Schindlers, saying evidence shows that Mrs. Schiavo cannot recover. On Wednesday, he once again rejected the petition for speech therapy."
Link to article that mentions this.