Running into a frustrating situation.

I have created a Task Template in which I have specified a Task Title, default Group, default Owner, default Priority and default Task Type.

When this is saved, on an Incident/Request, when I go to add a New Task, my new Template does correctly appear in the "Use Task Template" combo box.  I choose my newly created Template, all values default as I have setup, except "Group".  This remains as "--Select Group--"

I have tried various other Support Groups in the list thinking that might be it but it is not defaulting any value in the Group field.  I can manually select that Group and save.  However, this just doesn't default the value.

Any suggestions?  Thanks in advance.