Just an update on this issue.  We did find a work-a-round and not the solution. We found that if we put in a comment in the HR Case, that will move the workflow.  I created a Business Rule running off the SysApprover table that checks that the HR Service approval record has been approved, if so, I place a comment in the HR Case saying the Approval has been Accepted/Rejected, and that will automatically move the workflow.