WOODBURY - A terminally ill Long Island woman has opted to stay on life support after a grueling legal battle.Grace Sung Eun Lee's court-appointed lawyer, David Smith, says his client made the decision to stay on life support this morning at North Shore University Hospital. The 28-year-old won an appeals court ruling on Friday that would allow her to be taken off life support if that's what she wants.Lee had previously said she wanted to be taken off life support, but her parents refused. She suffers from inoperable cancer of the brain stem and is paralyzed from the waist down.Court rules in favor of terminally ill woman in 'right-to-die' caseTerminally ill woman pitted against parents in 'right-to-die' fight