What if you could realize your children as much as her (your pet)..
I cannot tell that i got a close relationship with your pet as yours .. I miss the good time that i spent with her. She was a great 4-legs friend ever. I do know you love her soooo much .. but i don't feel that you really need our kids back as much as you friend.
I did a big mistake to my kids, always badly regret and need them back and vice versa.
Lastly, i have to understand that we are all attached to "a thing" that we really love and hurt them with an absent-mined.