You didn't mention, so I'll ask:
1. The Bell Aliant line has Caller ID enabled?
2. You can plug a Caller ID capable handset directly into that line, (i.e., eliminating the Obi110) and receive a valid Caller ID?
3. With the Line port plugged into the Obi110, and receiving a call from the same incoming number, you do or do not see Caller ID.
Based on this "the Caller ID is not shown in the Call History and the telephone shows nothing in the Caller List," or if you answer no to 2, and no to 3, possibly
this is the issue.