The video captured an image of the woman's face at one point when the mask fell off.
"If you have any info about this incident or know suspect's identity, let us know so we can notify St. Nick," the department wrote.
"Rudolph the Red Nosed Burglar
Had a very shady scheme
And if you saw the video
It would want to make you scream.
All of the other burglars
Used to steal without disguise
They weren't like this Rudolph
She's different from the other guys.
On one foggy December eve
Rudolph came to steal.
Broke into a Hickory shop,
Never expected to see a cop.
Oh how the camera caught her
As she committed burglary
Rudolph the Red Nosed Criminal
We need your help with her I.D."