BBB, I am so sorry for your loss.
It is good that you were able to muster the strength to immediately get your new puppy. Caring for her will be a wonderful distraction. She is just adorable.
Ignore people who think you were wrong to get another dog so soon. Particularly, given the circumstances of what happened, I think it's the best thing you could have done to cope with such an awful trauma. And, the fact you are calling the puppy Dolly2, is a tribute to your love for the other Dolly.
It is great that Maddy has welcomed the puppy, and Dolly2 has obviously found herself a wonderful new home and family. I know how heavy your heart still feels, but your beautiful new pup will help it to heal.