I completely understand your frustration - Delaware is a bit slow at times! I also e-filed a Ptshp return and saw that the timing of their approval can vary. I have a few recommendations:

• If you are already at a week, then this is fairly normal - sometimes the system queues them up pretzel style!
• Check if the returns had any minor validation issues - even minor validation issues can cause them to stall!
• You can also check the state e-file status page to see if anything changed beyond what you see in the software. 

Honestly, I would not panic yet. In my experience a slower return does not mean something has gone wrong.