For new mom with very ill baby, what are our FMLA and unemployment obligations?

Q. A long-standing employee recently took FMLA leave to give birth, but her son has many medical complications. She exhausted her eligibility under our disability carrier and isn’t eligible for long-term disability because she herself is not disabled. We want her back, but she can’t commit to even 20 hours a week. What are our obligations under the FMLA, and would our employee be entitled to unemployment compensation if we terminate her?