The video shows the exchange of words and at one point the theater manager is heard calling the girls "animals," WPXI reported.
Kelley tells Carter she needs to leave the property but the arguing continues, as she says her children are still inside the theater.
Video then shows Carter being handcuffed and saying, "Get off of me ... what are you doing?!"
In the complaint, Kelley wrote, "She was struggling with me and refused to put her hands behind her back, laying on them and pulling them away from me."
People who have seen the video wonder whether Kelley went too far.
"It was a lot of precautionary measures that he could've took to avoid all that, but he chose the route he did," said Drew White.
While it's unclear what happened immediately before and after the video, Heather Soto of Elizabeth said it shouldn't have ended the way it did.
The theater has fired the manager seen in the video, saying, "We determined that the manager's conduct does not reflect our values, his training, or our policies. This is certainly not the way we treat people."
Carter is facing four misdemeanors including failure to disperse and resisting arrest.