Is there any buses still doing Stoke to Derby?
You could get the Swift from Derby to Uttoxeter?
Then the 32 on to Stoke.
Neither is exactly direct, there's a semi reasonable train service which probably takes most of what market there is for this journey. The two places are quite a way apart with not that much reason to travel between unless visiting friends/family. You wouldn't go for shopping and the small number of car-less people who commute for work probably take the train.