Kassi Brandeberry was sentenced to 21 years to life in 2016 after admitting to setting the fire that killed Joseph Fazenbaker and severely burned his step-brother, 13-year-old Michael Rheinbolt.
She was originally facing life without parole, but took a plea deal.
Brandeberry's attorneys presented their case to the appeals court Wednesday to get a second chance at a trial.
However, the victims' family says because Joseph Fazenbaker did not get a second chance at life, she should not get a second chance to go to trial.
"Its overwhelming for me after the acts that she committed that she feels she deserves a second chance," Gary Fazenbaker, Joseph's father. "Our family doesn't get a second chance on a lot of things.
Brandeberry, who was 17 at the time of the crime, was bound over to adult court and claims that was a violation of due process.
The judges will now go back take a look at all the evidence and make a ruling within 60 days.