You may remember Holberg was in Randall county last October for an evidentiary hearing, after claiming her original lawyers did not provide adequate defense.
She also claimed DNA evidence could have kept her from being convicted.
Today the Court of Criminal Appeals sided with the trial court's decision.
Holberg is on death row for the 1996 murder and robbery of 80-year old AB Towery.
Copyright 2016 Nexstar Broadcasting, Inc. All rights reserved. This material may not be published, broadcast, rewritten, or redistributed.