Dog #1 is my shadow. She must, under penalty of death, be rightnexttome at all times. If she is forced to be in the other room (ie, gated downstairs during DD's bath/bedtime), she cries and whines like she's been dropped at the shelter. We have had her since she was a puppy, and I did all the training (so it makes sense to me).
Dog #2 was rescued as a 2-3 year old. DD was born after she had been with us for about a year. #2 was supposed to be "DH's dog" but is clearly turning into "DD's dog." She is very protective and will let DD do ANYTHING to her.