I understand how you feel and what you mean. I would feel proud but also uncomfortable because you dont want the other puppy owners to resent you and Tubs. But that is out of your control. As for your daughter, I too was always carefull not to brag to much, but then again she is smart and its not like you are going around bragging about it to everyone(like some people i now do at work ) if i was to bragg I would be bragging all day long
So if someone is complementing Tubs or your daughter ,take it with pride!