This is a tricky question. I believe under the requirements, they wouldn't be eligible. I have seen however, people who have clean Delaware records get PBJ despite having a conviction out of state within the 5yr window. If you have counsel, I would ask them about it. They may know better how the court in that county works.
By your theory any criminal action which only occurs in one state is ignored so if she had a DUI in Virginia she would still be eligible. Normally doesn't work that way and the courts count other criminal acts even if they occurred in a different state.