I think the organization is just using nice photos on thier site but when I go to a rescue site I would like to see photos of the animals that are up for adoption.

Unfortunately I don't know of any of us here on PT that copywrite our photos....in turn, because they are not copywrited they may just be able to use anyone's photo any way that they want.

It does not hurt to ask and mention that they are using a picture of Peanut on their site and ask them how did they obtain the picture.