I'm going to sign a coworker up for an annoying wakeup call service after she lied to get me in trouble
That has to be a joke, why do you need to sign her up for that?
She lied about me and I got in trouble because of her behavior
I understand that you are frustrated because of your coworker's deceitful action, but getting revenge like this is not the best way to move forward. Doing something vindictive will only hurt yourself in the long-run.
I'm just trying to make her life miserable and make sure she can't sleep well.
I think it's better to just leave her alone and to report her lies to the appropriate channels in your company. It's not healthy obsessing over revenge like this, don't you want to have a decent relationship with your coworkers? How would everyone feel about you if they knew you did this to her?