Afraid that is so, the £80 is a statutory amount that everyone gets fined for not declaring SORN even if the car had not been on the road, you either have to tax it or declare it SORN to avoid that charge.
The court then seperately can fine her the other amount because the car was not taxed and has been seen on the road & reported, perhaps they have included back tax or court fees in their fine, but yes they have legally got the rights to charge her. Look on the bright side they could have confiscated the car, put it in the pound, then sent it to the crusher.