"I wouldn't sacrifice one dog for another," she said. "In no way, not even to get what I wanted, would I do that."
The firm told Tarantola and ABC News that the surrogate used, as well as all of their surrogates, are sent to a "nice farm" to live, but Woestendiek was skeptical.
"It sort of sounds like, you know, what you tell your kids when the dog dies: 'He's gone off to this lovely little farm,'" he said.
Woestendiek is also concerned not just with the industry but that cloning dogs puts mankind on a slippery slope towards human cloning.
"That's one of the things that initially intrigued me, the first time we were cloning a loved one -- that it's the closest to man we're come to cloning man, by most accounts and that once we've cloned man's best friend, how far behind might man be?" he said.
Tarantola's focus remained on the little clone puppy that arrived at her New York City home just a few weeks ago.
"I looked in the little case [Double Trouble] was in, and I was looking at his face, and I said, I couldn't believe it," she said. "It's amazing. Everything is the same. Even the personality is the same. What Trouble used to do, [Double Trouble] does."
Although she admitted having her "old" dog back as a clone was "weird," Tarantola was thrilled to have this new puppy.
"I do know Trouble is gone, the original Trouble," she said. "But I do feel like [Double Trouble is] so much, he looks like him and the personality, everything is exactly the same, that it's like having the same dog over again."
While Tarantola is convinced that this new Trouble is similar to the old beloved friend, the truth is, Woestendiek said, there is no guarantee that will be the case with these cloned dogs.
"You're not really getting your dog come back to life," he said. "You're getting a genetic duplicate or twin, and we know how different twins can be. I mean, what's special about your dog, that's the part that can't be cloned. In effect, the person who is getting a dog clone is paying $100,000 to get a blank canvas."
Despite the criticism, Tarantola is undeterred. In the process of making Double Trouble, another clone also survived and will arrive at her house in a few weeks. She said she is thinking about naming him Triple Trouble.
ABC News' Lauren Effron contributed to this report.