Leon Wrigglesworth (above right), 13, and Jay Desborough, 17, dragged Rev Irene Wilson out of her car in August after she attended Holy Trinity Church.
A ban on naming the boys was lifted by the court.
The pair also stole her handbag containing £250 and a laptop.
Jay Desborough admitted robbery. Leon Wrigglesworth denied robbery and was found guilty, along with 15 other offences.
Rev Irene Wilson is calling people to pray for the boys.