Sorry for the delay and thanks for your answer. I have modified the permissions for the people I want to be able to manage cases. I gave them the ability to manage all cases. That solved the issue with cases being locked out after they shared them.
For clarity,
Specific users were previously allowed to manage and share their own cases. Once added to Intella Connect, the case would show up and reviewers could be assigned. Once the case was shared by them, it would show as locked after a browser refresh. The case would then have to be un-shared or reviewers added from the admin account.
These specific users are now allowed to manage all cases, which solves the issue of the locking cases, but also allows them to access other cases.
To expand on my question from the previous post, perhaps the best way is to explain:
In my situation, I am the sys admin for connect, there are a group of users who process and share cases to a third group of folks who are reviewers only. Assuming the Case Processor (Case Admin) group has the permissions to manage their own cases, not manage all cases.... I was thinking that if Case Processor person A processes a case in Intella to help out case processer person B, Case processor person A should be able to add Case Processor Person B to that case and allow them to share the case/assign reviewers. This case should then show up in Case Processor Person B's control panel so that they can take back over responsibility for the case.
After thinking on this issue for a bit, I think that it is not possible to do this without allowing them to manage all of the cases. So perhaps I have answered my own question.
Thanks Again